/* Copyright (C) 2007-2015 Free Software Foundation, Inc.

This file is part of GCC.

GCC is free software; you can redistribute it and/or modify it under
the terms of the GNU General Public License as published by the Free
Software Foundation; either version 3, or (at your option) any later
version.

GCC is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
for more details.

Under Section 7 of GPL version 3, you are granted additional
permissions described in the GCC Runtime Library Exception, version
3.1, as published by the Free Software Foundation.

You should have received a copy of the GNU General Public License and
a copy of the GCC Runtime Library Exception along with this program;
see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
<http://www.gnu.org/licenses/>.  */

#include "bid_internal.h"

// Counting leading zeros in an unsigned 32-bit word
// The "_nz" version will return the wrong answer (31) for zero inputs

#define CLZ32_MASK16 0xFFFF0000ul
#define CLZ32_MASK8  0xFF00FF00ul
#define CLZ32_MASK4  0xF0F0F0F0ul
#define CLZ32_MASK2  0xCCCCCCCCul
#define CLZ32_MASK1  0xAAAAAAAAul

#define clz32_nz(n)                                             \
 (((((n) & CLZ32_MASK16) <= ((n) & ~CLZ32_MASK16)) ? 16 : 0) +  \
  ((((n) & CLZ32_MASK8) <= ((n) & ~CLZ32_MASK8)) ? 8 : 0) +     \
  ((((n) & CLZ32_MASK4) <= ((n) & ~CLZ32_MASK4)) ? 4 : 0) +     \
  ((((n) & CLZ32_MASK2) <= ((n) & ~CLZ32_MASK2)) ? 2 : 0) +     \
  ((((n) & CLZ32_MASK1) <= ((n) & ~CLZ32_MASK1)) ? 1 : 0))

#define clz32(n) (((n)==0) ? 32 : clz32_nz(n))

// Counting trailing zeros in an unsigned 32-bit word
// The ctz32_1bit version is for a single bit

#define ctz32_1bit(n)                                           \
 ((((n) & ~CLZ32_MASK16) ? 0 : 16) +                            \
  (((n) & ~CLZ32_MASK8) ? 0 : 8) +                              \
  (((n) & ~CLZ32_MASK4) ? 0 : 4) +                              \
  (((n) & ~CLZ32_MASK2) ? 0 : 2) +                              \
  (((n) & ~CLZ32_MASK1) ? 0 : 1))

#define ctz32(n) (((n) == 0) ? 32 : ctz32_1bit((n) & -(n)))

// Counting leading zeros in an unsigned 64-bit word
// The "_nz" version will return the wrong answer (63) for zero inputs

#define CLZ64_MASK32 0xFFFFFFFF00000000ull
#define CLZ64_MASK16 0xFFFF0000FFFF0000ull
#define CLZ64_MASK8  0xFF00FF00FF00FF00ull
#define CLZ64_MASK4  0xF0F0F0F0F0F0F0F0ull
#define CLZ64_MASK2  0xCCCCCCCCCCCCCCCCull
#define CLZ64_MASK1  0xAAAAAAAAAAAAAAAAull

#define clz64_nz(n)                                             \
 (((((n) & CLZ64_MASK32) <= ((n) & ~CLZ64_MASK32)) ? 32 : 0) +  \
  ((((n) & CLZ64_MASK16) <= ((n) & ~CLZ64_MASK16)) ? 16 : 0) +  \
  ((((n) & CLZ64_MASK8) <= ((n) & ~CLZ64_MASK8)) ? 8 : 0) +     \
  ((((n) & CLZ64_MASK4) <= ((n) & ~CLZ64_MASK4)) ? 4 : 0) +     \
  ((((n) & CLZ64_MASK2) <= ((n) & ~CLZ64_MASK2)) ? 2 : 0) +     \
  ((((n) & CLZ64_MASK1) <= ((n) & ~CLZ64_MASK1)) ? 1 : 0))      \

#define clz64(n) (((n)==0) ? 64 : clz64_nz(n))

// Counting trailing zeros in an unsigned 64-bit word
// The ctz64_1bit version is for a single bit

#define ctz64_1bit(n)                                           \
 ((((n) & ~CLZ64_MASK32) ? 0 : 32) +                            \
  (((n) & ~CLZ64_MASK16) ? 0 : 16) +                            \
  (((n) & ~CLZ64_MASK8) ? 0 : 8) +                              \
  (((n) & ~CLZ64_MASK4) ? 0 : 4) +                              \
  (((n) & ~CLZ64_MASK2) ? 0 : 2) +                              \
  (((n) & ~CLZ64_MASK1) ? 0 : 1))

#define ctz64(n) (((n) == 0) ? 64 : ctz64_1bit((n) & -(n)))

// Counting leading zeros in an unsigned 2-part 128-bit word

#define clz128(n_hi,n_lo) (((n_hi) == 0) ? 64 + clz64(n_lo) : clz64_nz(n_hi))

// Counting trailing zeros in a 2-part 128-bit word

#define ctz128(hi,lo) (((lo) == 0) ? 64 + ctz64(hi) : ctz64(lo))

// Shift 2-part 2^64 * hi + lo left by "c" bits
// The "short" form requires a shift 0 < c < 64 and will be faster
// Note that shifts of 64 can't be relied on as ANSI

#define sll128_short(hi,lo,c)                                   \
  ((hi) = ((hi) << (c)) + ((lo)>>(64-(c))),                     \
   (lo) = (lo) << (c)                                           \
  )

#define sll128(hi,lo,c)                                         \
  (((c) == 0) ? hi = hi, lo = lo :                              \
  (((c) >= 64) ? hi = lo << ((c) - 64), lo = 0 : sll128_short(hi,lo,c)))

// Shift 2-part 2^64 * hi + lo right by "c" bits
// The "short" form requires a shift 0 < c < 64 and will be faster
// Note that shifts of 64 can't be relied on as ANSI

#define srl128_short(hi,lo,c)                                   \
  ((lo) = ((hi) << (64 - (c))) + ((lo) >> (c)),                 \
   (hi) = (hi) >> (c)                                           \
  )

#define srl128(hi,lo,c)                                         \
  (((c) == 0) ? hi = hi, lo = lo :                              \
  (((c) >= 64) ? lo = hi >> ((c) - 64), hi = 0 : srl128_short(hi,lo,c)))

// Shift 4-part 2^196 * x3 + 2^128 * x2 + 2^64 * x1 + x0
// right by "c" bits (must have c < 64)

#define srl256(x3,x2,x1,x0,c)                                   \
  ((x0) = ((x1) << (64 - (c))) + ((x0) >> (c)),                 \
   (x1) = ((x2) << (64 - (c))) + ((x1) >> (c)),                 \
   (x2) = ((x3) << (64 - (c))) + ((x2) >> (c)),                 \
   (x3) = (x3) >> (c)                                           \
  )

// Compare "<" two 2-part unsigned integers

#define lt128(x_hi,x_lo,y_hi,y_lo)                              \
  (((x_hi) < (y_hi)) || (((x_hi) == (y_hi)) && ((x_lo) < (y_lo))))

// Likewise "<="

#define le128(x_hi,x_lo,y_hi,y_lo)                              \
  (((x_hi) < (y_hi)) || (((x_hi) == (y_hi)) && ((x_lo) <= (y_lo))))

// 128x256->384 bit multiplication (missing from existing macros)
// I derived this by propagating (A).w[2] = 0 in __mul_192x256_to_448

#define __mul_128x256_to_384(P, A, B)                           \
{                                                               \
UINT512 P0,P1;                                                  \
UINT64 CY;                                                      \
        __mul_64x256_to_320(P0, (A).w[0], B);                   \
        __mul_64x256_to_320(P1, (A).w[1], B);                   \
        (P).w[0] = P0.w[0];                                     \
        __add_carry_out((P).w[1],CY,P1.w[0],P0.w[1]);           \
        __add_carry_in_out((P).w[2],CY,P1.w[1],P0.w[2],CY);     \
        __add_carry_in_out((P).w[3],CY,P1.w[2],P0.w[3],CY);     \
        __add_carry_in_out((P).w[4],CY,P1.w[3],P0.w[4],CY);     \
        (P).w[5] = P1.w[4] + CY;                                \
}

// Multiply a 64-bit number by 10, getting "carry" and "sum"

#define __mul_10x64(sum,carryout,input,carryin)                         \
{ unsigned long long s3 = (input) + ((input) >> 2);                     \
  (carryout) = ((s3 < (unsigned long long)(input))<<3) + (s3>>61);      \
  s3 = (s3<<3) + ((input&3)<<1);                                        \
  (sum) = s3 + (carryin);                                               \
  if ((unsigned long long)(sum) < s3) ++(carryout);                     \
}

// Multiply a 256-bit number by 10, assuming no overflow

#define __mul_10x256_to_256(p3,p2,p1,p0,a3,a2,a1,a0)            \
{ unsigned long long c0,c1,c2,c3;                               \
  __mul_10x64(p0,c0,a0,0ull);                                   \
  __mul_10x64(p1,c1,a1,c0);                                     \
  __mul_10x64(p2,c2,a2,c1);                                     \
  __mul_10x64(p3,c3,a3,c2);                                     \
}

// Set up indices for low and high parts, depending on the endian-ness.
// Note that this only affects 128-bit input and output operands, not any
// of the internal workings, where w[0] is always the low-order part.

#if BID_BIG_ENDIAN
typedef union {
  struct {
    unsigned short hi;
    unsigned short lo1;
    unsigned short lo2;
    unsigned short lo3;
    unsigned short lo4;
    unsigned short pad;
    unsigned pad128;
  } i;
  BINARY80 f;
}
BID_BINARY80LDOUBLE;
#else
typedef union {
  struct {
    unsigned short lo4;
    unsigned short lo3;
    unsigned short lo2;
    unsigned short lo1;
    unsigned short hi;
    unsigned short pad;
    unsigned pad128;
  } i;
  BINARY80 f;
}
BID_BINARY80LDOUBLE;
#endif

// Pack and return binary floating-point numbers from raw fields

#if !DECIMAL_CALL_BY_REFERENCE
#define return_binary32(s,e,c)                  \
 { union {UINT32 i; float f; } x_out;           \
   x_out.i = (((UINT32)(s)) << 31) +            \
           (((UINT32)(e)) << 23) +              \
           (c);                                 \
   return x_out.f;                              \
}
#else
#define return_binary32(s,e,c)                  \
 { union {UINT32 i; float f; } x_out;           \
   x_out.i = (((UINT32)(s)) << 31) +            \
           (((UINT32)(e)) << 23) +              \
           (c);                                 \
   *pres = x_out.f;                             \
   return;                                      \
}
#endif

#if !DECIMAL_CALL_BY_REFERENCE
#define return_binary64(s,e,c)                  \
 { union {UINT64 i; double f; } x_out;          \
   x_out.i = (((UINT64)(s)) << 63) +            \
           (((UINT64)(e)) << 52) +              \
           (c);                                 \
   return x_out.f;                              \
 }
#else
#define return_binary64(s,e,c)                  \
 { union {UINT64 i; double f; } x_out;          \
   x_out.i = (((UINT64)(s)) << 63) +            \
           (((UINT64)(e)) << 52) +              \
           (c);                                 \
   *pres = x_out.f;                             \
   return;                                      \
 }
#endif

#if !DECIMAL_CALL_BY_REFERENCE
#define return_binary80(s,e,c)                      \
 { BID_BINARY80LDOUBLE x_out;                       \
   x_out.i.pad128 = 0;                              \
   x_out.i.pad = 0;                                 \
   x_out.i.lo4 =  (c)&0xffff;                       \
   x_out.i.lo3 = ((c)&0xffff0000) >> 16;            \
   x_out.i.lo2 = ((c)&0xffff00000000ull) >> 32;     \
   x_out.i.lo1 = ((c)&0xffff000000000000ull) >> 48; \
   x_out.i.hi = (((UINT64)(s)) << 15) +             \
                (e);                                \
   return x_out.f;                                  \
 }
#else
#define return_binary80(s,e,c)                      \
 { BID_BINARY80LDOUBLE x_out;                       \
   x_out.i.pad128 = 0;                              \
   x_out.i.pad = 0;                                 \
   x_out.i.lo4 =  (c)&0xffff;                       \
   x_out.i.lo3 = ((c)&0xffff0000) >> 16;            \
   x_out.i.lo2 = ((c)&0xffff00000000ull) >> 32;     \
   x_out.i.lo1 = ((c)&0xffff000000000000ull) >> 48; \
   x_out.i.hi = ((s) << 15) +                       \
                (e);                                \
   *pres = x_out.f;                                 \
   return;                                          \
 }
#endif

#if !DECIMAL_CALL_BY_REFERENCE
#define return_binary128(s,e,c_hi,c_lo)                 \
 { union {UINT128 i; BINARY128 f; } x_out;             \
   x_out.i.w[LOW_128W] = (c_lo);                   \
   x_out.i.w[HIGH_128W] = (((UINT64)(s)) << 63) +   \
                (((UINT64)(e)) << 48) +                 \
                (c_hi);                                 \
   return x_out.f;                                      \
 }
#else
#define return_binary128(s,e,c_hi,c_lo)                 \
 { union {UINT128 i; BINARY128 f; } x_out;             \
   x_out.i.w[LOW_128W] = (c_lo);                   \
   x_out.i.w[HIGH_128W] = (((UINT64)(s)) << 63) +   \
                (((UINT64)(e)) << 48) +                 \
                (c_hi);                                 \
   *pres = x_out.f;                                     \
   return;                                              \
 }
#endif

// Special cases of returning zero, infinity, NaN as binary FP
// Take parameters for the sign, and for NaN the significand

#define return_binary32_zero(s) return_binary32(s,0,0)
#define return_binary32_inf(s) return_binary32(s,255,0)
#define return_binary32_nan(s,c_hi,c_lo) \
  return_binary32(s,255,(c_hi>>42)+(1ul<<22))

#define return_binary64_zero(s) return_binary64(s,0,0)
#define return_binary64_inf(s) return_binary64(s,2047,0)
#define return_binary64_nan(s,c_hi,c_lo) \
  return_binary64(s,2047,(c_hi>>13)+(1ull<<51))

#define return_binary80_zero(s) return_binary80(s,0,0)
#define return_binary80_inf(s) return_binary80(s,32767,(1ull<<63))
#define return_binary80_nan(s,c_hi,c_lo) \
  return_binary80(s,32767,(c_hi>>2)+(3ull<<62))

#define return_binary128_zero(s) return_binary128(s,0,0,0)
#define return_binary128_inf(s) return_binary128(s,32767,0,0)
#define return_binary128_nan(s,c_hi,c_lo) \
  return_binary128(s,32767,(c_hi>>17)+(1ull<<47),((c_lo>>17)+(c_hi<<47)))

// Return finite values of maximal magnitude in the various formats

#define return_binary32_max(s) return_binary32(s,254,((1ul<<23)-1ul))
#define return_binary64_max(s) return_binary64(s,2046,((1ull<<52)-1ull))
#define return_binary80_max(s) return_binary80(s,32766,0xFFFFFFFFFFFFFFFFull)
#define return_binary128_max(s) \
  return_binary128(s,32766,((1ull<<48)-1ull),0xFFFFFFFFFFFFFFFFull)

#define return_bid32_max(s) return_bid32(s,191,9999999ul)
#define return_bid64_max(s) return_bid64(s,767,9999999999999999ull)
#define return_bid128_max(s)    \
  return_bid128(s,12287,542101086242752ull,4003012203950112767ull)

// Handle overflow by either infinity or maximal value as appropriate

#define return_binary32_ovf(s)                                               \
{ if ((rnd_mode==ROUNDING_TO_ZERO) ||                                        \
      (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN)))                    \
    return_binary32_max(s)                                                   \
  else return_binary32_inf(s)                                                \
}

#define return_binary64_ovf(s)                                               \
{ if ((rnd_mode==ROUNDING_TO_ZERO) ||                                        \
      (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN)))                    \
    return_binary64_max(s)                                                   \
  else return_binary64_inf(s)                                                \
}

#define return_binary80_ovf(s)                                               \
{ if ((rnd_mode==ROUNDING_TO_ZERO) ||                                        \
      (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN)))                    \
    return_binary80_max(s)                                                   \
  else return_binary80_inf(s)                                                \
}

#define return_binary128_ovf(s)                                              \
{ if ((rnd_mode==ROUNDING_TO_ZERO) ||                                        \
      (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN)))                    \
    return_binary128_max(s)                                                  \
  else return_binary128_inf(s)                                               \
}

#define return_bid32_ovf(s)                                                  \
{ if ((rnd_mode==ROUNDING_TO_ZERO) ||                                        \
      (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN)))                    \
    return_bid32_max(s)                                                      \
  else return_bid32_inf(s)                                                   \
}

#define return_bid64_ovf(s)                                                  \
{ if ((rnd_mode==ROUNDING_TO_ZERO) ||                                        \
      (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN)))                    \
    return_bid64_max(s)                                                      \
  else return_bid64_inf(s)                                                   \
}

#define return_bid128_ovf(s)                                                 \
{ if ((rnd_mode==ROUNDING_TO_ZERO) ||                                        \
      (rnd_mode==((s!=0) ? ROUNDING_UP : ROUNDING_DOWN)))                    \
    return_bid128_max(s)                                                     \
  else return_bid128_inf(s)                                                  \
}

// Unpack binary floating-point number x into
//
// int    s (sign in the LSB)
// int    e (true "integer" exponent)
//        c (normalized coefficient with explicit 1 bit)
//        t (trailing zero count, valid in normalized case only)
//        [c_hi,c_lo in the case of quad]
//
// Call the given zero, infinity or nan macros if appropriate

#define unpack_binary32(x,s,e,c,t,zero,inf,nan)                             \
{ union { UINT32 i; float f; } x_in;                                        \
  x_in.f = x;                                                               \
  c = x_in.i;                                                               \
  e = (c >> 23) & ((1ull<<8)-1);                                            \
  s = c >> 31;                                                              \
  c = c & ((1ull<<23)-1);                                                   \
  if (e == 0)                                                               \
   { int l;                                                                 \
     if (c == 0) zero;                                                      \
     l = clz32(c) - (32 - 24);                                              \
     c = c << l;                                                            \
     e = -(l + 149);                                                        \
     t = 0;                                                                 \
     *pfpsf |= DENORMAL_EXCEPTION;                                          \
   }                                                                        \
  else if (e == ((1ull<<8)-1))                                              \
   { if (c == 0) inf;                                                       \
     if ((c&(1ul<<22))==0) *pfpsf |= INVALID_EXCEPTION;                     \
     nan(s,(((unsigned long long) c)) << 42,0ull)                           \
   }                                                                        \
  else                                                                      \
   { c += 1ull<<23;                                                         \
     t = ctz32(c);                                                          \
     e -= 150;                                                              \
   }                                                                        \
}

#define unpack_binary64(x,s,e,c,t,zero,inf,nan)                             \
{ union { UINT64 i; double f; } x_in;                                       \
  x_in.f = x;                                                               \
  c = x_in.i;                                                               \
  e = (c >> 52) & ((1ull<<11)-1);                                           \
  s = c >> 63;                                                              \
  c = c & ((1ull<<52)-1);                                                   \
  if (e == 0)                                                               \
   { int l;                                                                 \
     if (c == 0) zero;                                                      \
     l = clz64(c) - (64 - 53);                                              \
     c = c << l;                                                            \
     e = -(l + 1074);                                                       \
     t = 0;                                                                 \
     *pfpsf |= DENORMAL_EXCEPTION;                                          \
   }                                                                        \
  else if (e == ((1ull<<11)-1))                                             \
   { if (c == 0) inf;                                                       \
     if ((c&(1ull<<51))==0) *pfpsf |= INVALID_EXCEPTION;                    \
     nan(s,(((unsigned long long) c) << 13),0ull)                           \
   }                                                                        \
  else                                                                      \
   { c += 1ull<<52;                                                         \
     t = ctz64(c);                                                          \
     e -= 1075;                                                             \
   }                                                                        \
}

#define unpack_binary80(x,s,e,c,t,zero,inf,nan)                             \
{ BID_BINARY80LDOUBLE x_in;                                                 \
  x_in.f = x;                                                               \
  c = x_in.i.lo4 + ((UINT64)x_in.i.lo3 << 16) +                             \
      ((UINT64)x_in.i.lo2 << 32) + ((UINT64)x_in.i.lo1 << 48);              \
  e = x_in.i.hi;                                                            \
  s = e >> 15;                                                              \
  e = (e & ((1<<15)-1));                                                    \
  if (e == 0)                                                               \
   { int l;                                                                 \
     if (c == 0) zero;                                                      \
     l = clz64(c);                                                          \
     c = c << l;                                                            \
     e -= (l + 16445);                                                      \
     t = 0;                                                                 \
     *pfpsf |= DENORMAL_EXCEPTION;                                          \
    }                                                                       \
  else if (e == ((1ull<<15)-1))                                             \
   { if ((c & ((1ull<<63)-1)) == 0) inf;                                    \
     if ((c&(1ull<<62))==0) *pfpsf |= INVALID_EXCEPTION;                    \
     nan(s,(((unsigned long long) c) << 2),0ull)                            \
   }                                                                        \
  else                                                                      \
   { t = ctz64(c);                                                          \
     e -= 16446;                                                            \
   }                                                                        \
}

#define unpack_binary128(x,s,e,c_hi,c_lo,t,zero,inf,nan)                    \
{ union { UINT128 i; BINARY128 f; } x_in;                                  \
  x_in.f = x;                                                               \
  c_lo = x_in.i.w[LOW_128W];                                           \
  c_hi = x_in.i.w[HIGH_128W];                                           \
  e = (c_hi >> 48) & ((1ull<<15)-1);                                        \
  s = c_hi >> 63;                                                           \
  c_hi = c_hi & ((1ull<<48)-1);                                             \
  if (e == 0)                                                               \
   { int l;                                                                 \
     if ((c_hi == 0) && (c_lo == 0)) zero;                                  \
     l = clz128(c_hi,c_lo) - (128 - 113);                                   \
     sll128(c_hi,c_lo,l);                                                   \
     e = -(l + 16494);                                                      \
     t = 0;                                                                 \
     *pfpsf |= DENORMAL_EXCEPTION;                                          \
   }                                                                        \
  else if (e == ((1ull<<15)-1))                                             \
   { if ((c_hi == 0) && (c_lo == 0)) inf;                                   \
     if ((c_hi&(1ull<<47))==0) *pfpsf |= INVALID_EXCEPTION;                 \
     nan(s,((((unsigned long long) c_hi) << 17) +                           \
            (((unsigned long long) c_lo) >> 47)),                           \
           (((unsigned long long) c_lo) << 17))                             \
   }                                                                        \
  else                                                                      \
   { c_hi += 1ull<<48;                                                      \
     t = ctz128(c_hi,c_lo);                                                 \
     e -= 16495;                                                            \
   }                                                                        \
}

// Pack and return decimal number from raw fields

#if !DECIMAL_CALL_BY_REFERENCE
#define return_bid32(s,e,c)                                                 \
  { if ((UINT32) (c) < (1ul<<23))                                           \
      return (((UINT32) (s) << 31) + ((UINT32) (e) << 23) + (UINT32) (c));  \
    else                                                                    \
      return (((UINT32) (s) << 31) + ((0x3ull<<29) - (1ull<<23)) +          \
             ((UINT32) (e) << 21) + (UINT32) (c));                          \
  }
#else
#define return_bid32(s,e,c)                                                 \
  { if ((UINT32) (c) < (1ul<<23))                                           \
      *pres = (((UINT32) (s) << 31) + ((UINT32) (e) << 23) + (UINT32) (c)); \
    else                                                                    \
      *pres = (((UINT32) (s) << 31) + ((0x3ull<<29) - (1ull<<23)) +         \
             ((UINT32) (e) << 21) + (UINT32) (c));                          \
    return;                                                                 \
  }
#endif

#if !DECIMAL_CALL_BY_REFERENCE
#define return_bid64(s,e,c)                                                 \
  { if ((c) < (1ull<<53))                                                   \
      return (((UINT64) (s) << 63) + ((UINT64) (e) << 53) + (c));           \
    else                                                                    \
      return (((UINT64) (s) << 63) + ((0x3ull<<61) - (1ull<<53)) +          \
             ((UINT64) (e) << 51) + (c));                                   \
  }
#else
#define return_bid64(s,e,c)                                                 \
  { if ((c) < (1ull<<53))                                                   \
      *pres = (((UINT64) (s) << 63) + ((UINT64) (e) << 53) + (c));          \
    else                                                                    \
      *pres = (((UINT64) (s) << 63) + ((0x3ull<<61) - (1ull<<53)) +         \
             ((UINT64) (e) << 51) + (c));                                   \
    return;                                                                 \
  }
#endif

#if !DECIMAL_CALL_BY_REFERENCE
#define return_bid128(s,e,c_hi,c_lo)                                        \
  { UINT128 x_out;                                                          \
    x_out.w[LOW_128W] = c_lo;                                          \
    x_out.w[HIGH_128W] = ((UINT64) (s) << 63) + ((UINT64) (e) << 49) +  \
                             (c_hi);                                        \
    return x_out;                                                           \
  }
#else
#define return_bid128(s,e,c_hi,c_lo)                                                    \
  { UINT128 x_out;                                                                      \
    x_out.w[LOW_128W] = c_lo;                                                      \
    x_out.w[HIGH_128W] = ((UINT64) (s) << 63) + ((UINT64) (e) << 49) + (c_hi);      \
    *pres = x_out;                                                                      \
    return;                                                                             \
  }
#endif

// Special cases of returning zero, infinity, NaN as decimal FP
// Take parameters for the sign, and for NaN the significand

#define return_bid32_zero(s) return_bid32(s,101,0)
#define return_bid32_inf(s) return_bid32(s,(0xF<<4),0)
#define return_bid32_nan(s,c_hi,c_lo)                                       \
  return_bid32(s,(0x1F<<3),(((c_hi>>44) > 999999ul) ? 0 : (c_hi>>44)));

#define return_bid64_zero(s) return_bid64(s,398,0)
#define return_bid64_inf(s) return_bid64(s,(0xF<<6),0)
#define return_bid64_nan(s,c_hi,c_lo)                                       \
  return_bid64(s,(0x1F<<5),                                                 \
               (((c_hi>>14) > 999999999999999ull) ? 0 : (c_hi>>14)));

#define return_bid128_zero(s) return_bid128(s,6176,0,0)
#define return_bid128_inf(s) return_bid128(s,(0xF<<10),0,0)
#define return_bid128_nan(s,c_hi,c_lo)                                      \
 { if (lt128(54210108624275ull,4089650035136921599ull,                      \
             (c_hi>>18),((c_lo>>18)+(c_hi<<46))))                           \
   return_bid128(s,(0x1F<<9),0ull,0ull)                                     \
   else return_bid128(s,(0x1F<<9),(c_hi>>18),((c_lo>>18)+(c_hi<<46)))       \
 }

// Unpack decimal floating-point number x into sign,exponent,coefficient
// In special cases, call the macros provided
// Coefficient is normalized in the binary sense with postcorrection k,
// so that x = 10^e * c / 2^k and the range of c is:
//
// 2^23 <= c < 2^24   (decimal32)
// 2^53 <= c < 2^54   (decimal64)
// 2^112 <= c < 2^113 (decimal128)

#define unpack_bid32(x,s,e,k,c,zero,inf,nan)                                \
{ s = x >> 31;                                                              \
  if ((x & (3ull<<29)) == (3ull<<29))                                       \
   { if ((x & (0xFull<<27)) == (0xFull<<27))                                \
      { if ((x & (0x1Full<<26)) != (0x1Full<<26)) inf;                      \
        if ((x & (1ul<<25))!=0) *pfpsf |= INVALID_EXCEPTION;                \
        nan(s,((((x) & 0xFFFFul) > 999999ul) ? 0 :                          \
               (((unsigned long long) x) << 44)),0ull);                     \
      }                                                                     \
     e = ((x >> 21) & ((1ull<<8)-1)) - 101;                                 \
     c = (1ull<<23) + (x & ((1ull<<21)-1));                                 \
     if ((unsigned long)(c) > 9999999ul) c = 0;                             \
     k = 0;                                                                 \
   }                                                                        \
  else                                                                      \
   { e = ((x >> 23) & ((1ull<<8)-1)) - 101;                                 \
     c = x & ((1ull<<23)-1);                                                \
     if (c == 0) zero;                                                      \
     k = clz32(c) - 8;                                                      \
     c = c << k;                                                            \
   }                                                                        \
}

#define unpack_bid64(x,s,e,k,c,zero,inf,nan)                                \
{ s = x >> 63;                                                              \
  if ((x & (3ull<<61)) == (3ull<<61))                                       \
   { if ((x & (0xFull<<59)) == (0xFull<<59))                                \
      { if ((x & (0x1Full<<58)) != (0x1Full<<58)) inf;                      \
        if ((x & (1ull<<57))!=0) *pfpsf |= INVALID_EXCEPTION;               \
        nan(s,((((x) & 0x3FFFFFFFFFFFFull) > 999999999999999ull) ? 0 :      \
               (((unsigned long long) x) << 14)),0ull);                     \
      }                                                                     \
     e = ((x >> 51) & ((1ull<<10)-1)) - 398;                                \
     c = (1ull<<53) + (x & ((1ull<<51)-1));                                 \
     if ((unsigned long long)(c) > 9999999999999999ull) c = 0;              \
     k = 0;                                                                 \
   }                                                                        \
  else                                                                      \
   { e = ((x >> 53) & ((1ull<<10)-1)) - 398;                                \
     c = x & ((1ull<<53)-1);                                                \
     if (c == 0) zero;                                                      \
     k = clz64(c) - 10;                                                     \
     c = c << k;                                                            \
   }                                                                        \
}

#define unpack_bid128(x,s,e,k,c,zero,inf,nan)                               \
{ s = x.w[HIGH_128W] >> 63;                                             \
  if ((x.w[HIGH_128W] & (3ull<<61)) == (3ull<<61))                      \
   { if ((x.w[HIGH_128W] & (0xFull<<59)) == (0xFull<<59))               \
      { if ((x.w[HIGH_128W] & (0x1Full<<58)) != (0x1Full<<58)) inf;     \
        if ((x.w[HIGH_128W] & (1ull<<57))!=0)                           \
           *pfpsf |= INVALID_EXCEPTION;                                     \
        if (lt128(54210108624275ull,4089650035136921599ull,                 \
            (x.w[HIGH_128W] & 0x3FFFFFFFFFFFull),x.w[LOW_128W]))   \
          nan(s,0ull,0ull);                                                 \
        nan(s,((((unsigned long long) x.w[HIGH_128W]) << 18) +          \
               (((unsigned long long) x.w[LOW_128W]) >> 46)),          \
              (((unsigned long long) x.w[LOW_128W]) << 18));           \
      }                                                                     \
     zero;                                                                  \
   }                                                                        \
  else                                                                      \
   { e = ((x.w[HIGH_128W] >> 49) & ((1ull<<14)-1)) - 6176;              \
     c.w[1] = x.w[HIGH_128W] & ((1ull<<49)-1);                          \
     c.w[0] = x.w[LOW_128W];                                           \
     if (lt128(542101086242752ull,4003012203950112767ull,                   \
               c.w[1],c.w[0]))                                              \
      { c.w[1] = 0ull; c.w[0] = 0ull; }                                     \
     if ((c.w[1] == 0) && (c.w[0] == 0)) zero;                              \
     k = clz128(c.w[1],c.w[0]) - 15;                                        \
     sll128(c.w[1],c.w[0],k);                                               \
   }                                                                        \
}

// Rounding boundaries table, indexed by
// 4 * rounding_mode + 2 * sign + lsb of truncation
// We round up if the round/sticky data is strictly > this boundary
//
// NB: This depends on the particular values of the rounding mode
// numbers, which are supposed to be defined as here:
//
// #define ROUNDING_TO_NEAREST     0x00000
// #define ROUNDING_DOWN           0x00001
// #define ROUNDING_UP             0x00002
// #define ROUNDING_TO_ZERO        0x00003
// #define ROUNDING_TIES_AWAY      0x00004
//
// Some of the shortcuts below in "underflow after rounding" also use
// the concrete values.
//
// So we add a directive here to double-check that this is the case

#if ((ROUNDING_TO_NEAREST!=0) || (ROUNDING_DOWN!=1) ||          \
     (ROUNDING_UP!=2) || (ROUNDING_TO_ZERO!=3) ||               \
     (ROUNDING_TIES_AWAY!=4))
#error "Rounding mode numbers don't match tables for binary/decimal conversion"
#endif

static const UINT128 roundbound_128[] = { {{0ull, (1ull << 63)}},       // ROUNDING_TO_NEAREST | positive | even
{{~0ull, (1ull << 63) - 1}},    // ROUNDING_TO_NEAREST | positive | odd
{{0ull, (1ull << 63)}}, // ROUNDING_TO_NEAREST | negative | even
{{~0ull, (1ull << 63) - 1}},    // ROUNDING_TO_NEAREST | negative | odd

{{~0ull, ~0ull}},       // ROUNDING_DOWN       | positive | even
{{~0ull, ~0ull}},       // ROUNDING_DOWN       | positive | odd
{{0ull, 0ull}}, // ROUNDING_DOWN       | negative | even
{{0ull, 0ull}}, // ROUNDING_DOWN       | negative | odd

{{0ull, 0ull}}, // ROUNDING_UP         | positive | even
{{0ull, 0ull}}, // ROUNDING_UP         | positive | odd
{{~0ull, ~0ull}},       // ROUNDING_UP         | negative | even
{{~0ull, ~0ull}},       // ROUNDING_UP         | negative | odd

{{~0ull, ~0ull}},       // ROUNDING_TO_ZERO    | positive | even
{{~0ull, ~0ull}},       // ROUNDING_TO_ZERO    | positive | odd
{{~0ull, ~0ull}},       // ROUNDING_TO_ZERO    | negative | even
{{~0ull, ~0ull}},       // ROUNDING_TO_ZERO    | negative | odd

{{~0ull, (1ull << 63) - 1}},    // ROUNDING_TIES_AWAY  | positive | even
{{~0ull, (1ull << 63) - 1}},    // ROUNDING_TIES_AWAY  | positive | odd
{{~0ull, (1ull << 63) - 1}},    // ROUNDING_TIES_AWAY  | negative | even
{{~0ull, (1ull << 63) - 1}}     // ROUNDING_TIES_AWAY  | negative | odd
};

// Table of powers of 5

static const UINT128 power_five[] = { {{1ull, 0ull}},
{{5ull, 0ull}},
{{25ull, 0ull}},
{{125ull, 0ull}},
{{625ull, 0ull}},
{{3125ull, 0ull}},
{{15625ull, 0ull}},
{{78125ull, 0ull}},
{{390625ull, 0ull}},
{{1953125ull, 0ull}},
{{9765625ull, 0ull}},
{{48828125ull, 0ull}},
{{244140625ull, 0ull}},
{{1220703125ull, 0ull}},
{{6103515625ull, 0ull}},
{{30517578125ull, 0ull}},
{{152587890625ull, 0ull}},
{{762939453125ull, 0ull}},
{{3814697265625ull, 0ull}},
{{19073486328125ull, 0ull}},
{{95367431640625ull, 0ull}},
{{476837158203125ull, 0ull}},
{{2384185791015625ull, 0ull}},
{{11920928955078125ull, 0ull}},
{{59604644775390625ull, 0ull}},
{{298023223876953125ull, 0ull}},
{{1490116119384765625ull, 0ull}},
{{7450580596923828125ull, 0ull}},
{{359414837200037393ull, 2ull}},
{{1797074186000186965ull, 10ull}},
{{8985370930000934825ull, 50ull}},
{{8033366502585570893ull, 252ull}},
{{3273344365508751233ull, 1262ull}},
{{16366721827543756165ull, 6310ull}},
{{8046632842880574361ull, 31554ull}},
{{3339676066983768573ull, 157772ull}},
{{16698380334918842865ull, 788860ull}},
{{9704925379756007861ull, 3944304ull}},
{{11631138751360936073ull, 19721522ull}},
{{2815461535676025517ull, 98607613ull}},
{{14077307678380127585ull, 493038065ull}},
{{15046306170771983077ull, 2465190328ull}},
{{1444554559021708921ull, 12325951644ull}},
{{7222772795108544605ull, 61629758220ull}},
{{17667119901833171409ull, 308148791101ull}},
{{14548623214327650581ull, 1540743955509ull}},
{{17402883850509598057ull, 7703719777548ull}},
{{13227442957709783821ull, 38518598887744ull}},
{{10796982567420264257ull, 192592994438723ull}}
};


// Tables of values for the various conversions:
//
// exponents: table of output exponents
// breakpoints: test values to decide between two possible exponents
// multipliers1/multipliers2: corresponding reciprocal multipliers
// coefflimits: used in exactness checks
//

static const UINT128 breakpoints_binary32[] =
  { {{17291492046443221751ull, 474778387287989ull}},
{{17522542451896487724ull, 379822709830391ull}},
{{10328685146775279856ull, 303858167864313ull}},
{{12836547420098537447ull, 486173068582901ull}},
{{6579889121336919634ull, 388938454866321ull}},
{{1574562482327625384ull, 311150763893057ull}},
{{6208648786466110938ull, 497841222228891ull}},
{{1277570214430978427ull, 398272977783113ull}},
{{8400753801028603388ull, 318618382226490ull}},
{{13441206081645765421ull, 509789411562384ull}},
{{14442313680058522660ull, 407831529249907ull}},
{{4175153314562997481ull, 326265223399926ull}},
{{17748291747526526940ull, 522024357439881ull}},
{{10509284583279311229ull, 417619485951905ull}},
{{8407427666623448983ull, 334095588761524ull}},
{{2383837822371787403ull, 534552942018439ull}},
{{5596419072639340246ull, 427642353614751ull}},
{{787786443369561873ull, 342113882891801ull}},
{{12328504753617029967ull, 547382212626881ull}},
{{6173454988151713650ull, 437905770101505ull}},
{{4938763990521370920ull, 350324616081204ull}},
{{15280720014318014119ull, 560519385729926ull}},
{{8535227196712500972ull, 448415508583941ull}},
{{3138832942628090454ull, 358732406867153ull}},
{{9889763983586293010ull, 286985925493722ull}},
{{1066227114770427523ull, 459177480789956ull}},
{{15610376950783983311ull, 367341984631964ull}},
{{16177650375369096972ull, 293873587705571ull}},
{{58798897397182893ull, 470197740328915ull}},
{{47039117917746314ull, 376158192263132ull}},
{{11105677738559928021ull, 300926553810505ull}},
{{17769084381695884834ull, 481482486096808ull}},
{{3147221061130976897ull, 385185988877447ull}},
{{13585823293130512487ull, 308148791101957ull}},
{{6979922010041178687ull, 493038065763132ull}},
{{16651984052258673919ull, 394430452610505ull}},
{{13321587241806939135ull, 315544362088404ull}},
{{10246493142665371647ull, 504870979341447ull}},
{{818496884648476671ull, 403896783473158ull}},
{{8033495137202601983ull, 323117426778526ull}},
{{5474894590040342527ull, 516987882845642ull}},
{{15447962116258004991ull, 413590306276513ull}},
{{1290323248780673023ull, 330872245021211ull}},
{{13132563642274807807ull, 529395592033937ull}},
{{3127353284336025599ull, 423516473627150ull}},
{{2501882627468820479ull, 338813178901720ull}},
{{4003012203950112767ull, 542101086242752ull}},
{{14270456207385821183ull, 433680868994201ull}},
{{7727016151166746623ull, 346944695195361ull}},
{{4984528212382973951ull, 555111512312578ull}},
{{11366320199390199807ull, 444089209850062ull}},
{{1714358530028339199ull, 355271367880050ull}},
{{1371486824022671359ull, 284217094304040ull}},
{{2194378918436274175ull, 454747350886464ull}},
{{5444851949490929663ull, 363797880709171ull}},
{{666532744850833407ull, 291038304567337ull}},
{{4755801206503243775ull, 465661287307739ull}},
{{7493989779944505343ull, 372529029846191ull}},
{{2305843009213693951ull, 298023223876953ull}},
{{18446744073709551615ull, 476837158203124ull}},
{{18446744073709551615ull, 381469726562499ull}},
{{18446744073709551615ull, 305175781249999ull}},
{{18446744073709551615ull, 488281249999999ull}},
{{18446744073709551615ull, 390624999999999ull}},
{{18446744073709551615ull, 312499999999999ull}},
{{18446744073709551615ull, 499999999999999ull}},
{{18446744073709551615ull, 399999999999999ull}},
{{18446744073709551615ull, 319999999999999ull}},
{{18446744073709551615ull, 511999999999999ull}},
{{18446744073709551615ull, 409599999999999ull}},
{{18446744073709551615ull, 327679999999999ull}},
{{18446744073709551615ull, 524287999999999ull}},
{{18446744073709551615ull, 419430399999999ull}},
{{18446744073709551615ull, 335544319999999ull}},
{{18446744073709551615ull, 536870911999999ull}},
{{18446744073709551615ull, 429496729599999ull}},
{{18446744073709551615ull, 343597383679999ull}},
{{18446744073709551615ull, 549755813887999ull}},
{{18446744073709551615ull, 439804651110399ull}},
{{18446744073709551615ull, 351843720888319ull}},
{{18446744073709551615ull, 281474976710655ull}},
{{11068046444225730969ull, 450359962737049ull}},
{{12543785970122495098ull, 360287970189639ull}},
{{13724377590839906402ull, 288230376151711ull}},
{{14580306515860029597ull, 461168601842738ull}},
{{596198768462292708ull, 368934881474191ull}},
{{15234354273737475459ull, 295147905179352ull}},
{{9617571579012319442ull, 472236648286964ull}},
{{11383406077951765876ull, 377789318629571ull}},
{{5417376047619502378ull, 302231454903657ull}},
{{12357150490933114128ull, 483570327845851ull}},
{{6196371578004580979ull, 386856262276681ull}},
{{1267748447661754460ull, 309485009821345ull}},
{{2028397516258807136ull, 495176015714152ull}},
{{12690764457232776679ull, 396140812571321ull}},
{{6463262751044311020ull, 316912650057057ull}},
{{14030569216412807955ull, 507060240091291ull}},
{{7535106558388336041ull, 405648192073033ull}},
{{13406782876194489479ull, 324518553658426ull}},
{{14072154972427362520ull, 519229685853482ull}},
{{3879026348458069369ull, 415383748682786ull}},
{{17860616337734096788ull, 332306998946228ull}},
{{6440893251923092922ull, 531691198313966ull}},
{{1463365786796564015ull, 425352958651173ull}},
{{8549390258921071858ull, 340282366920938ull}},
{{9989675599531804650ull, 544451787073501ull}},
{{4302391664883533397ull, 435561429658801ull}},
{{18199308590874468010ull, 348449143727040ull}},
{{10672149671689597200ull, 557518629963265ull}},
{{8537719737351677760ull, 446014903970612ull}},
{{17898222234107073178ull, 356811923176489ull}},
{{18007926602027568865ull, 285449538541191ull}},
{{2987240860050737922ull, 456719261665907ull}},
{{13457839132266321307ull, 365375409332725ull}},
{{10766271305813057046ull, 292300327466180ull}},
{{17226034089300891273ull, 467680523945888ull}},
{{2712780827214982049ull, 374144419156711ull}},
{{16927619920739626932ull, 299315535325368ull}},
{{4948098984731941152ull, 478904856520590ull}},
{{3958479187785552922ull, 383123885216472ull}}
};

static const int exponents_binary32[] = { -27,
  -24,
  -21,
  -17,
  -14,
  -11,
  -7,
  -4,
  -1,
  3,
  6,
  9,
  13,
  16,
  19,
  23,
  26,
  29,
  33,
  36,
  39,
  43,
  46,
  49,
  52,
  56,
  59,
  62,
  66,
  69,
  72,
  76,
  79,
  82,
  86,
  89,
  92,
  96,
  99,
  102,
  106,
  109,
  112,
  116,
  119,
  122,
  126,
  129,
  132,
  136,
  139,
  142,
  145,
  149,
  152,
  155,
  159,
  162,
  165,
  169,
  172,
  175,
  179,
  182,
  185,
  189,
  192,
  195,
  199,
  202,
  205,
  209,
  212,
  215,
  219,
  222,
  225,
  229,
  232,
  235,
  238,
  242,
  245,
  248,
  252,
  255,
  258,
  262,
  265,
  268,
  272,
  275,
  278,
  282,
  285,
  288,
  292,
  295,
  298,
  302,
  305,
  308,
  312,
  315,
  318,
  322,
  325,
  328,
  332,
  335,
  338,
  341,
  345,
  348,
  351,
  355,
  358,
  361,
  365,
  368,
};

static const UINT256 multipliers1_binary32[] =
  { {{6013890151484785128ull, 7481633477359093489ull,
      655737588518723529ull, 651851512427ull}},
{{12129048707783369314ull, 13963727865126254765ull,
  14654730040930568123ull, 814814390533ull}},
{{1326252829447047930ull, 12842973812980430553ull,
  4483354495881046442ull, 1018517988167ull}},
{{12358123064472874716ull, 12638544651540156999ull,
  9719625587566735882ull, 636573742604ull}},
{{10835967812163705491ull, 6574808777570420441ull,
  12149531984458419853ull, 795717178255ull}},
{{18156645783632019768ull, 12830196990390413455ull,
  10575228962145636912ull, 994646472819ull}},
{{18265432642411094211ull, 8018873118994008409ull,
  4303675092127329118ull, 621654045512ull}},
{{8996732747731704052ull, 800219361887734704ull, 5379593865159161398ull,
  777067556890ull}},
{{11245915934664630065ull, 10223646239214444188ull,
  15947864368303727555ull, 971334446112ull}},
{{16252069496020169599ull, 4083935890295333665ull,
  9967415230189829722ull, 607084028820ull}},
{{6480028814743048286ull, 14328291899723942890ull,
  12459269037737287152ull, 758855036025ull}},
{{17323408055283586166ull, 17910364874654928612ull,
  1739028241889445228ull, 948568795032ull}},
{{1603757997697465546ull, 1970606009804554575ull,
  1086892651180903268ull, 592855496895ull}},
{{15839755552403995644ull, 2463257512255693218ull,
  15193673869258292797ull, 741069371118ull}},
{{10576322403650218747ull, 7690757908747004427ull,
  9768720299718090188ull, 926336713898ull}},
{{4304358493067692765ull, 14030095729821653575ull,
  10717136205751194271ull, 578960446186ull}},
{{768762097907228052ull, 12925933643849679065ull,
  4173048220334217031ull, 723700557733ull}},
{{5572638640811422969ull, 11545731036384710927ull,
  9827996293845159193ull, 904625697166ull}},
{{10400428178148221212ull, 298552870099362473ull,
  1530811665225836592ull, 565391060729ull}},
{{17612221241112664419ull, 373191087624203091ull,
  6525200599959683644ull, 706738825911ull}},
{{17403590532963442619ull, 466488859530253864ull,
  3544814731522216651ull, 883423532389ull}},
{{10877244083102151637ull, 16432456601702266329ull,
  4521352216415079358ull, 552139707743ull}},
{{18208241122305077450ull, 11317198715273057103ull,
  1040004252091461294ull, 690174634679ull}},
{{18148615384453958909ull, 4923126357236545571ull,
  15135063370396490330ull, 862718293348ull}},
{{18074083212140060732ull, 15377279983400457772ull,
  472085139286061296ull, 1078397866686ull}},
{{2072929970732762150ull, 9610799989625286108ull,
  14130111267335952022ull, 673998666678ull}},
{{2591162463415952687ull, 2790127950176831827ull,
  8439267047315164220ull, 842498333348ull}},
{{17074011134552104570ull, 3487659937721039783ull,
  10549083809143955275ull, 1053122916685ull}},
{{17588785986736147213ull, 18320688525571507528ull,
  8899020389928665998ull, 658201822928ull}},
{{3539238409710632400ull, 13677488620109608603ull,
  11123775487410832498ull, 822752278660ull}},
{{18259106067420454212ull, 7873488738282234945ull,
  13904719359263540623ull, 1028440348325ull}},
{{4494412264496702026ull, 11838459489067478697ull,
  10996292608753406841ull, 642775217703ull}},
{{10229701349048265437ull, 963016306052184659ull,
  9133679742514370648ull, 803469022129ull}},
{{8175440667882943892ull, 1203770382565230824ull,
  16028785696570351214ull, 1004336277661ull}},
{{5109650417426839933ull, 14587414544385432977ull,
  12323834069570163460ull, 627710173538ull}},
{{10998749040210937820ull, 18234268180481791221ull,
  6181420550107928517ull, 784637716923ull}},
{{18360122318691060179ull, 8957777170320075314ull,
  3115089669207522743ull, 980797146154ull}},
{{16086762467609300516ull, 12516139759091128927ull,
  6558617061682089618ull, 612998216346ull}},
{{15496767066084237741ull, 6421802662009135351ull,
  17421643363957387831ull, 766247770432ull}},
{{14759272814177909272ull, 3415567309084031285ull,
  3330310131237183173ull, 957809713041ull}},
{{11530388518074887247ull, 4440572577391213505ull,
  13610658878091709243ull, 598631070650ull}},
{{577927592311445347ull, 939029703311628978ull, 7789951560759860746ull,
  748288838313ull}},
{{9945781527244082491ull, 10397159165994312030ull,
  14349125469377213836ull, 935361047891ull}},
{{1604427436100163653ull, 15721596515601220827ull,
  6662360409147064695ull, 584600654932ull}},
{{15840592350407368278ull, 15040309626074138129ull,
  8327950511433830869ull, 730750818665ull}},
{{5965682382727046636ull, 4965328977310508950ull,
  15021624157719676491ull, 913438523331ull}},
{{17563609544486567859ull, 797487601605374141ull,
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{{8119453875326046112ull, 14831917557288881389ull,
  18076712148556155626ull, 713623846352ull}},
{{14761003362584945544ull, 9316524909756325928ull,
  4149146111985642917ull, 892029807941ull}},
{{9225627101615590965ull, 8128671077811397657ull,
  4899059329204720775ull, 557518629963ull}},
{{16143719895446876610ull, 5549152828836859167ull,
  1512138143078513065ull, 696898287454ull}},
{{15567963850881207859ull, 11548127054473461863ull,
  11113544715702917139ull, 871122859317ull}},
{{14848268795174121920ull, 9823472799664439425ull, 56872839346482712ull,
  1088903574147ull}},
{{2362638969342744344ull, 6139670499790274641ull,
  16176446589087409359ull, 680564733841ull}},
{{7564984730105818334ull, 3062902106310455397ull,
  6385500181077097987ull, 850705917302ull}},
{{14067916931059660821ull, 17663685688170232958ull,
  17205247263201148291ull, 1063382396627ull}},
{{4180762063484900109ull, 8733960545892701647ull,
  8447436530287023730ull, 664613997892ull}},
{{614266560928737233ull, 1694078645511101251ull,
  10559295662858779663ull, 830767497365ull}},
{{14602891256443085253ull, 15952656362171040275ull,
  17810805597000862482ull, 1038459371706ull}},
{{6820964026063234331ull, 14582096244784288076ull,
  15743439516552926955ull, 649037107316ull}},
{{8526205032579042914ull, 13615934287552972191ull,
  1232555321981607078ull, 811296384146ull}},
{{6046070272296415738ull, 7796545822586439431ull,
  10764066189331784656ull, 1014120480182ull}},
{{10696322947826341692ull, 4872841139116524644ull,
  2115855349904977506ull, 633825300114ull}},
{{13370403684782927115ull, 15314423460750431613ull,
  11868191224235997690ull, 792281625142ull}},
{{2877946550696495182ull, 9919657289083263709ull,
  5611866993440221305ull, 990352031428ull}},
{{4104559603399003441ull, 17729000851745509578ull,
  12730788907754914123ull, 618970019642ull}},
{{14354071541103530109ull, 17549565046254499068ull,
  6690114097838866846ull, 773712524553ull}},
{{17942589426379412636ull, 12713584270963348027ull,
  12974328640725971462ull, 967140655691ull}},
{{8908275382273438946ull, 3334304150924704613ull,
  5803112391240038212ull, 604462909807ull}},
{{15747030246269186586ull, 4167880188655880766ull,
  2642204470622659861ull, 755578637259ull}},
{{10460415770981707425ull, 9821536254247238862ull,
  17137813643560488538ull, 944473296573ull}},
{{1926073838436179237ull, 10750146177331912193ull,
  13016976536438999288ull, 590295810358ull}},
{{7019278316472611950ull, 13437682721664890241ull,
  7047848633693973302ull, 737869762948ull}},
{{13385783914018152841ull, 7573731365226336993ull,
  8809810792117466628ull, 922337203685ull}},
{{1448585918620263670ull, 13956954140121236429ull,
  7811974754287110594ull, 576460752303ull}},
{{6422418416702717491ull, 8222820638296769728ull,
  5153282424431500339ull, 720575940379ull}},
{{8028023020878396864ull, 5666839779443574256ull,
  1829917012111987520ull, 900719925474ull}},
{{5017514388048998040ull, 3541774862152233910ull,
  5755384150997380104ull, 562949953421ull}},
{{15495265021916023358ull, 4427218577690292387ull,
  11805916207174113034ull, 703687441776ull}},
{{14757395258967641293ull, 14757395258967641292ull,
  14757395258967641292ull, 879609302220ull}},
{{0ull, 0ull, 0ull, 1099511627776ull}},
{{0ull, 0ull, 0ull, 687194767360ull}},
{{0ull, 0ull, 0ull, 858993459200ull}},
{{0ull, 0ull, 0ull, 1073741824000ull}},
{{0ull, 0ull, 0ull, 671088640000ull}},
{{0ull, 0ull, 0ull, 838860800000ull}},
{{0ull, 0ull, 0ull, 1048576000000ull}},
{{0ull, 0ull, 0ull, 655360000000ull}},
{{0ull, 0ull, 0ull, 819200000000ull}},
{{0ull, 0ull, 0ull, 1024000000000ull}},
{{0ull, 0ull, 0ull, 640000000000ull}},
{{0ull, 0ull, 0ull, 800000000000ull}},
{{0ull, 0ull, 0ull, 1000000000000ull}},
{{0ull, 0ull, 0ull, 625000000000ull}},
{{0ull, 0ull, 0ull, 781250000000ull}},
{{0ull, 0ull, 0ull, 976562500000ull}},
{{0ull, 0ull, 0ull, 610351562500ull}},
{{0ull, 0ull, 0ull, 762939453125ull}},
{{0ull, 0ull, 4611686018427387904ull, 953674316406ull}},
{{0ull, 0ull, 16717361816799281152ull, 596046447753ull}},
{{0ull, 0ull, 7061644215716937728ull, 745058059692ull}},
{{0ull, 0ull, 8827055269646172160ull, 931322574615ull}},
{{0ull, 0ull, 12434438571169939456ull, 582076609134ull}},
{{0ull, 0ull, 6319676177107648512ull, 727595761418ull}},
{{0ull, 0ull, 17122967258239336448ull, 909494701772ull}},
{{0ull, 0ull, 1478482499544809472ull, 568434188608ull}},
{{0ull, 0ull, 1848103124431011840ull, 710542735760ull}},
{{0ull, 0ull, 2310128905538764800ull, 888178419700ull}},
{{0ull, 0ull, 10667202602816503808ull, 555111512312ull}},
{{0ull, 0ull, 13334003253520629760ull, 693889390390ull}},
{{0ull, 0ull, 7444132030046011392ull, 867361737988ull}},
{{0ull, 0ull, 9305165037557514240ull, 1084202172485ull}},
{{0ull, 0ull, 8121571157687140352ull, 677626357803ull}},
{{0ull, 0ull, 5540277928681537536ull, 847032947254ull}},
{{0ull, 0ull, 16148719447706697728ull, 1058791184067ull}},
{{0ull, 0ull, 7787106645602992128ull, 661744490042ull}},
{{0ull, 0ull, 510511270148964352ull, 827180612553ull}},
{{0ull, 0ull, 5249825106113593344ull, 1033975765691ull}},
{{0ull, 0ull, 975297682107301888ull, 646234853557ull}},
{{0ull, 0ull, 5830808121061515264ull, 807793566946ull}}
};

static const UINT256 multipliers2_binary32[] =
  { {{12230317112597168372ull, 12964188775534322552ull,
      9551240831114137572ull, 325925756213ull}},
{{15287896390746460465ull, 16205235969417903190ull,
  16550737057320059869ull, 407407195266ull}},
{{9886498451578299773ull, 6421486906490215276ull,
  11465049284795299029ull, 509258994083ull}},
{{15402433569091213166ull, 6319272325770078499ull,
  4859812793783367941ull, 318286871302ull}},
{{14641355942936628554ull, 12510776425639986028ull,
  15298138029083985734ull, 397858589127ull}},
{{18301694928670785692ull, 6415098495195206727ull,
  14510986517927594264ull, 497323236409ull}},
{{18356088358060322914ull, 4009436559497004204ull,
  2151837546063664559ull, 310827022756ull}},
{{4498366373865852026ull, 400109680943867352ull, 2689796932579580699ull,
  388533778445ull}},
{{5622957967332315033ull, 14335195156461997902ull,
  7973932184151863777ull, 485667223056ull}},
{{17349406784864860608ull, 2041967945147666832ull,
  4983707615094914861ull, 303542014410ull}},
{{3240014407371524143ull, 7164145949861971445ull,
  15453006555723419384ull, 379427518012ull}},
{{8661704027641793083ull, 8955182437327464306ull, 869514120944722614ull,
  474284397516ull}},
{{10025251035703508581ull, 985303004902277287ull,
  9766818362445227442ull, 296427748447ull}},
{{7919877776201997822ull, 10455000792982622417ull,
  7596836934629146398ull, 370534685559ull}},
{{14511533238679885182ull, 3845378954373502213ull,
  4884360149859045094ull, 463168356949ull}},
{{11375551283388622191ull, 16238419901765602595ull,
  5358568102875597135ull, 289480223093ull}},
{{9607753085808389834ull, 15686338858779615340ull,
  11309896147021884323ull, 361850278866ull}},
{{12009691357260487293ull, 14996237555047131271ull,
  4913998146922579596ull, 452312848583ull}},
{{14423586125928886414ull, 149276435049681236ull,
  9988777869467694104ull, 282695530364ull}},
{{18029482657411108018ull, 186595543812101545ull,
  12485972336834617630ull, 353369412955ull}},
{{8701795266481721310ull, 9456616466619902740ull,
  10995779402615884133ull, 441711766194ull}},
{{14661994078405851627ull, 8216228300851133164ull,
  11484048145062315487ull, 276069853871ull}},
{{18327492598007314533ull, 5658599357636528551ull,
  9743374162900506455ull, 345087317339ull}},
{{18297679729081755263ull, 2461563178618272785ull,
  7567531685198245165ull, 431359146674ull}},
{{9037041606070030366ull, 7688639991700228886ull, 236042569643030648ull,
  539198933343ull}},
{{1036464985366381075ull, 4805399994812643054ull,
  7065055633667976011ull, 336999333339ull}},
{{10518953268562752152ull, 1395063975088415913ull,
  4219633523657582110ull, 421249166674ull}},
{{17760377604130828093ull, 10967202005715295699ull,
  14497913941426753445ull, 526561458342ull}},
{{8794392993368073607ull, 9160344262785753764ull,
  4449510194964332999ull, 329100911464ull}},
{{10992991241710092008ull, 6838744310054804301ull,
  5561887743705416249ull, 411376139330ull}},
{{18352925070565002914ull, 13160116405995893280ull,
  16175731716486546119ull, 514220174162ull}},
{{11470578169103126821ull, 15142601781388515156ull,
  14721518341231479228ull, 321387608851ull}},
{{14338222711378908527ull, 481508153026092329ull,
  13790211908111961132ull, 401734511064ull}},
{{4087720333941471946ull, 601885191282615412ull,
  17237764885139951415ull, 502168138830ull}},
{{11778197245568195775ull, 7293707272192716488ull,
  6161917034785081730ull, 313855086769ull}},
{{14722746556960244718ull, 18340506127095671418ull,
  12314082311908740066ull, 392318858461ull}},
{{9180061159345530090ull, 13702260622014813465ull,
  1557544834603761371ull, 490398573077ull}},
{{17266753270659426066ull, 6258069879545564463ull,
  3279308530841044809ull, 306499108173ull}},
{{16971755569896894679ull, 12434273367859343483ull,
  8710821681978693915ull, 383123885216ull}},
{{16603008443943730444ull, 10931155691396791450ull,
  10888527102473367394ull, 478904856520ull}},
{{14988566295892219432ull, 11443658325550382560ull,
  6805329439045854621ull, 299315535325ull}},
{{288963796155722674ull, 469514851655814489ull, 13118347817234706181ull,
  374144419156ull}},
{{4972890763622041246ull, 5198579582997156015ull,
  16397934771543382726ull, 467680523945ull}},
{{10025585754904857635ull, 17084170294655386221ull,
  3331180204573532347ull, 292300327466ull}},
{{17143668212058459947ull, 16743526849891844872ull,
  13387347292571691242ull, 365375409332ull}},
{{2982841191363523318ull, 11706036525510030283ull,
  16734184115714614053ull, 456719261665ull}},
{{18005176809098059738ull, 9622115837657462878ull,
  3541336044680551927ull, 285449538541ull}},
{{13283098974517798864ull, 7415958778644440694ull,
  9038356074278077813ull, 356811923176ull}},
{{7380501681292472772ull, 13881634491732938772ull,
  11297945092847597266ull, 446014903970ull}},
{{13836185587662571291ull, 13287707575760474636ull,
  11672901701457136195ull, 278759314981ull}},
{{17295231984578214113ull, 11997948451273205391ull,
  756069071539256532ull, 348449143727ull}},
{{17007353962295379738ull, 14997435564091506739ull,
  14780144394706234377ull, 435561429658ull}},
{{16647506434441836768ull, 4911736399832219712ull,
  9251808456528017164ull, 544451787073ull}},
{{10404691521526147980ull, 12293207286749913128ull,
  17311595331398480487ull, 340282366920ull}},
{{13005864401907684975ull, 10754823090010003506ull,
  3192750090538548993ull, 425352958651ull}},
{{7033958465529830411ull, 18055214880939892287ull,
  17825995668455349953ull, 531691198313ull}},
{{11313753068597225863ull, 4366980272946350823ull,
  4223718265143511865ull, 332306998946ull}},
{{9530505317319144425ull, 10070411359610326433ull,
  14503019868284165639ull, 415383748682ull}},
{{16524817665076318435ull, 7976328181085520137ull,
  8905402798500431241ull, 519229685853ull}},
{{3410482013031617166ull, 16514420159246919846ull,
  7871719758276463477ull, 324518553658ull}},
{{13486474553144297265ull, 6807967143776486095ull,
  616277660990803539ull, 405648192073ull}},
{{12246407173002983677ull, 3898272911293219715ull,
  5382033094665892328ull, 507060240091ull}},
{{5348161473913170846ull, 2436420569558262322ull,
  1057927674952488753ull, 316912650057ull}},
{{15908573879246239366ull, 7657211730375215806ull,
  5934095612117998845ull, 396140812571ull}},
{{10662345312203023399ull, 14183200681396407662ull,
  2805933496720110652ull, 495176015714ull}},
{{2052279801699501721ull, 18087872462727530597ull,
  6365394453877457061ull, 309485009821ull}},
{{7177035770551765055ull, 8774782523127249534ull,
  12568429085774209231ull, 386856262276ull}},
{{18194666750044482126ull, 6356792135481674013ull,
  15710536357217761539ull, 483570327845ull}},
{{13677509727991495281ull, 1667152075462352306ull,
  12124928232474794914ull, 302231454903ull}},
{{7873515123134593293ull, 11307312131182716191ull,
  10544474272166105738ull, 377789318629ull}},
{{5230207885490853713ull, 4910768127123619431ull,
  17792278858635020077ull, 472236648286ull}},
{{10186408956072865427ull, 5375073088665956096ull,
  6508488268219499644ull, 295147905179ull}},
{{12733011195091081783ull, 6718841360832445120ull,
  3523924316846986651ull, 368934881474ull}},
{{15916263993863852229ull, 3786865682613168496ull,
  13628277432913509122ull, 461168601842ull}},
{{9947664996164907643ull, 6978477070060618214ull,
  13129359413998331105ull, 288230376151ull}},
{{3211209208351358746ull, 13334782356003160672ull,
  11800013249070525977ull, 360287970189ull}},
{{4014011510439198432ull, 2833419889721787128ull, 914958506055993760ull,
  450359962737ull}},
{{2508757194024499020ull, 1770887431076116955ull,
  12101064112353465860ull, 281474976710ull}},
{{16971004547812787487ull, 2213609288845146193ull,
  5902958103587056517ull, 351843720888ull}},
{{7378697629483820647ull, 7378697629483820646ull,
  7378697629483820646ull, 439804651110ull}},
{{0ull, 0ull, 0ull, 549755813888ull}},
{{0ull, 0ull, 0ull, 343597383680ull}},
{{0ull, 0ull, 0ull, 429496729600ull}},
{{0ull, 0ull, 0ull, 536870912000ull}},
{{0ull, 0ull, 0ull, 335544320000ull}},
{{0ull, 0ull, 0ull, 419430400000ull}},
{{0ull, 0ull, 0ull, 524288000000ull}},
{{0ull, 0ull, 0ull, 327680000000ull}},
{{0ull, 0ull, 0ull, 409600000000ull}},
{{0ull, 0ull, 0ull, 512000000000ull}},
{{0ull, 0ull, 0ull, 320000000000ull}},
{{0ull, 0ull, 0ull, 400000000000ull}},
{{0ull, 0ull, 0ull, 500000000000ull}},
{{0ull, 0ull, 0ull, 312500000000ull}},
{{0ull, 0ull, 0ull, 390625000000ull}},
{{0ull, 0ull, 0ull, 488281250000ull}},
{{0ull, 0ull, 0ull, 305175781250ull}},
{{0ull, 0ull, 9223372036854775808ull, 381469726562ull}},
{{0ull, 0ull, 2305843009213693952ull, 476837158203ull}},
{{0ull, 0ull, 17582052945254416384ull, 298023223876ull}},
{{0ull, 0ull, 3530822107858468864ull, 372529029846ull}},
{{0ull, 0ull, 13636899671677861888ull, 465661287307ull}},
{{0ull, 0ull, 6217219285584969728ull, 291038304567ull}},
{{0ull, 0ull, 3159838088553824256ull, 363797880709ull}},
{{0ull, 0ull, 8561483629119668224ull, 454747350886ull}},
{{0ull, 0ull, 739241249772404736ull, 284217094304ull}},
{{0ull, 0ull, 924051562215505920ull, 355271367880ull}},
{{0ull, 0ull, 1155064452769382400ull, 444089209850ull}},
{{0ull, 0ull, 5333601301408251904ull, 277555756156ull}},
{{0ull, 0ull, 6667001626760314880ull, 346944695195ull}},
{{0ull, 0ull, 3722066015023005696ull, 433680868994ull}},
{{0ull, 0ull, 13875954555633532928ull, 542101086242ull}},
{{0ull, 0ull, 13284157615698345984ull, 338813178901ull}},
{{0ull, 0ull, 2770138964340768768ull, 423516473627ull}},
{{0ull, 0ull, 17297731760708124672ull, 529395592033ull}},
{{0ull, 0ull, 3893553322801496064ull, 330872245021ull}},
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{{0ull, 0ull, 9711020877908426752ull, 323117426778ull}},
{{0ull, 0ull, 2915404060530757632ull, 403896783473ull}}
};

// **********************************************************************

static const UINT128 breakpoints_binary64[] =
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{{18446744073709551552ull, 28147497671065599ull}},
{{18446744073709551552ull, 22517998136852479ull}},
{{18446744073709551552ull, 18014398509481983ull}},
{{7378697629483820608ull, 28823037615171174ull}},
{{9592306918328966784ull, 23058430092136939ull}},
{{11363194349405083776ull, 18446744073709551ull}},
{{10802413329564313408ull, 29514790517935282ull}},
{{1263233034167630080ull, 23611832414348226ull}},
{{15767981686301745344ull, 18889465931478580ull}},
{{6782026624373240960ull, 30223145490365729ull}},
{{9114970114240503040ull, 24178516392292583ull}},
{{14670673720876223104ull, 19342813113834066ull}},
{{16094380323918136320ull, 30948500982134506ull}},
{{9186155444392598720ull, 24758800785707605ull}},
{{7348924355514078976ull, 19807040628566084ull}},
{{690232524596795392ull, 31691265005705735ull}},
{{552186019677436352ull, 25353012004564588ull}},
{{7820446445225769728ull, 20282409603651670ull}},
{{12512714312361231552ull, 32451855365842672ull}},
{{2631473820405164608ull, 25961484292674138ull}},
{{9483876685807952320ull, 20769187434139310ull}},
{{15174202697292723712ull, 33230699894622896ull}},
{{8450013343092268608ull, 26584559915698317ull}},
{{17828057118699545856ull, 21267647932558653ull}},
{{6388798501467811456ull, 34028236692093846ull}},
{{1421689986432338880ull, 27222589353675077ull}},
{{12205398433371602048ull, 21778071482940061ull}},
{{12149939863910742656ull, 34844914372704098ull}},
{{17098649520612414784ull, 27875931498163278ull}},
{{2610873172264200832ull, 22300745198530623ull}},
{{488048260880811008ull, 35681192317648997ull}},
{{11458485052930379776ull, 28544953854119197ull}},
{{1788090412860483200ull, 22835963083295358ull}},
{{8809169959772207168ull, 18268770466636286ull}},
{{6715974306151710848ull, 29230032746618058ull}},
{{12751477074405189312ull, 23384026197294446ull}},
{{6511832844782241152ull, 18707220957835557ull}},
{{14108281366393496128ull, 29931553532536891ull}},
{{7597276278372886592ull, 23945242826029513ull}},
{{13456518652182129920ull, 19156194260823610ull}},
{{3083685769781856256ull, 30649910817317777ull}},
{{13534995060051216000ull, 24519928653854221ull}},
{{7138647233299062464ull, 19615942923083377ull}},
{{15111184388020410240ull, 31385508676933403ull}},
{{1020901066190597248ull, 25108406941546723ull}},
{{8195418482436298432ull, 20086725553237378ull}},
{{9423320757156167168ull, 32138760885179805ull}},
{{7538656605724933760ull, 25711008708143844ull}},
{{9720274099321857280ull, 20568806966515075ull}},
{{15552438558914971712ull, 32910091146424120ull}},
{{12441950847131977344ull, 26328072917139296ull}},
{{6264211862963671552ull, 21062458333711437ull}},
{{13712087795483784832ull, 33699933333938299ull}},
{{14659019051128938176ull, 26959946667150639ull}},
{{15416564055645060864ull, 21567957333720511ull}},
{{17287804859548276736ull, 34508731733952818ull}},
{{2762197443412890432ull, 27606985387162255ull}},
{{2209757954730312320ull, 22085588309729804ull}},
{{10914310357052320384ull, 35336941295567686ull}},
{{5042099470899945984ull, 28269553036454149ull}},
{{7723028391461867136ull, 22615642429163319ull}},
{{9867771527911404032ull, 18092513943330655ull}},
{{15788434444658246400ull, 28948022309329048ull}},
{{1562701111500866176ull, 23158417847463239ull}},
{{4939509703942603264ull, 18526734277970591ull}},
{{524517896824344576ull, 29642774844752946ull}},
{{15177009576427116928ull, 23714219875802356ull}},
{{8452258846399783232ull, 18971375900641885ull}},
{{13523614154239653184ull, 30354201441027016ull}},
{{7129542508649812224ull, 24283361152821613ull}},
{{13082331636403670400ull, 19426688922257290ull}},
{{2484986544536321088ull, 31082702275611665ull}},
{{1987989235629056832ull, 24866161820489332ull}},
{{12658437832728976448ull, 19892929456391465ull}},
{{1806756458656810688ull, 31828687130226345ull}},
{{1445405166925448576ull, 25462949704181076ull}},
{{15913719392508000128ull, 20370359763344860ull}},
{{7015206954303248640ull, 32592575621351777ull}},
{{16680212007668329856ull, 26074060497081421ull}},
{{9654820791392753536ull, 20859248397665137ull}},
{{690318007260764416ull, 33374797436264220ull}},
{{552254405808611520ull, 26699837949011376ull}},
{{15199198783614530496ull, 21359870359209100ull}},
{{5871973980073697216ull, 34175792574734561ull}},
{{1008230369317047424ull, 27340634059787649ull}},
{{4495933110195548288ull, 21872507247830119ull}},
{{14572190605796697920ull, 34996011596528190ull}},
{{11657752484637358336ull, 27996809277222552ull}},
{{1947504358226065984ull, 22397447421778042ull}},
{{6805355787903615936ull, 35835915874844867ull}},
{{16512331074548623680ull, 28668732699875893ull}},
{{2141818415413168000ull, 22934986159900715ull}},
{{1713454732330534400ull, 18347988927920572ull}},
{{6430876386470765376ull, 29356782284672915ull}},
{{5144701109176612288ull, 23485425827738332ull}},
{{15183807331567020800ull, 18788340662190665ull}},
{{5847347656797681664ull, 30061345059505065ull}},
{{4677878125438145344ull, 24049076047604052ull}},
{{14810348944576247232ull, 19239260838083241ull}},
{{16317860681838174912ull, 30782817340933186ull}},
{{9364939730728629632ull, 24626253872746549ull}},
{{11181300599324814016ull, 19701003098197239ull}},
{{6822034514693971456ull, 31521604957115583ull}},
{{12836325241238997824ull, 25217283965692466ull}},
{{6579711378249287936ull, 20173827172553973ull}},
{{6838189390456950400ull, 32278123476086357ull}},
{{16538597956591291264ull, 25822498780869085ull}},
{{13230878365273033024ull, 20657999024695268ull}},
{{17480056569694942528ull, 33052798439512429ull}},
{{17673394070497864320ull, 26442238751609943ull}},
{{3070668812172560448ull, 21153791001287955ull}},
{{4913070099476096768ull, 33846065602060728ull}},
{{11309153709064698048ull, 27076852481648582ull}},
{{1668625337767937792ull, 21661481985318866ull}},
{{13737846984654431488ull, 34658371176510185ull}},
{{10990277587723545152ull, 27726696941208148ull}},
{{16170919699662656768ull, 22181357552966518ull}},
{{3737378631008788928ull, 35490172084746430ull}},
{{2989902904807031104ull, 28392137667797144ull}},
{{6081271138587535232ull, 22713710134237715ull}},
{{4865016910870028160ull, 18170968107390172ull}},
{{11473375872133955392ull, 29073548971824275ull}},
{{9178700697707164352ull, 23258839177459420ull}},
{{7342960558165731456ull, 18607071341967536ull}},
{{4370039263581349696ull, 29771314147148058ull}},
{{10874729040348900416ull, 23817051317718446ull}},
{{5010434417537209984ull, 19053641054174757ull}},
{{11706043882801446336ull, 30485825686679611ull}},
{{5675486291499246720ull, 24388660549343689ull}},
{{8229737847941307712ull, 19510928439474951ull}},
{{5788882927222271680ull, 31217485503159922ull}},
{{15699152786003548288ull, 24973988402527937ull}},
{{5180624599319017984ull, 19979190722022350ull}},
{{8288999358910428800ull, 31966705155235760ull}},
{{6631199487128343040ull, 25573364124188608ull}},
{{12683657219186495104ull, 20458691299350886ull}},
{{12915153921214571520ull, 32733906078961418ull}},
{{17710820766455477824ull, 26187124863169134ull}},
{{17858005427906292608ull, 20949699890535307ull}},
{{13815413425682426880ull, 33519519824856492ull}},
{{3673633111062120832ull, 26815615859885194ull}},
{{6628255303591606976ull, 21452492687908155ull}},
{{10605208485746571200ull, 34323988300653048ull}},
{{15862864418081077632ull, 27459190640522438ull}},
{{1622245090239131136ull, 21967352512417951ull}},
{{13663638588608340736ull, 35147764019868721ull}},
{{7241562056144762304ull, 28118211215894977ull}},
{{16861296089141540800ull, 22494568972715981ull}},
{{1152632039433092992ull, 35991310356345571ull}},
{{15679500890514115712ull, 28793048285076456ull}},
{{8854251897669382208ull, 23034438628061165ull}},
{{7083401518135505792ull, 18427550902448932ull}},
{{15022791243758719616ull, 29484081443918291ull}},
{{8328884180265065344ull, 23587265155134633ull}},
{{14041804973695872896ull, 18869812124107706ull}},
{{15088190328429576000ull, 30191699398572330ull}},
{{12070552262743660800ull, 24153359518857864ull}},
{{13345790624936838976ull, 19322687615086291ull}},
{{13974567370415121728ull, 30916300184138066ull}},
{{7490305081590187072ull, 24733040147310453ull}},
{{13370941694755970304ull, 19786432117848362ull}},
{{6636111452641911168ull, 31658291388557380ull}},
{{5308889162113528960ull, 25326633110845904ull}},
{{7936460144432733440ull, 20261306488676723ull}},
{{9008987416350463232ull, 32418090381882757ull}},
{{18275236377306101568ull, 25934472305506205ull}},
{{14620189101844881216ull, 20747577844404964ull}},
{{12324256118726079040ull, 33196124551047943ull}},
{{17238102524464683840ull, 26556899640838354ull}},
{{17479830834313657408ull, 21245519712670683ull}},
{{5831636446450389952ull, 33992831540273094ull}},
{{8354657971902222272ull, 27194265232218475ull}},
{{6683726377521777792ull, 21755412185774780ull}},
{{10693962204034844480ull, 34808659497239648ull}},
{{15933867392711696256ull, 27846927597791718ull}},
{{1679047469943626048ull, 22277542078233375ull}},
{{2686475951909801664ull, 35644067325173400ull}},
{{2149180761527841344ull, 28515253860138720ull}},
{{1719344609222273024ull, 22812203088110976ull}},
{{16132870946345459712ull, 18249762470488780ull}},
{{7365849440443183936ull, 29199619952782049ull}},
{{9582028367096457472ull, 23359695962225639ull}},
{{11354971508419076288ull, 18687756769780511ull}},
{{10789256783986701440ull, 29900410831648818ull}},
{{16010103056673181824ull, 23920328665319054ull}},
{{16497431260080455744ull, 19136262932255243ull}},
{{4259797127677267328ull, 30618020691608390ull}},
{{3407837702141813824ull, 24494416553286712ull}},
{{13794316605939182016ull, 19595533242629369ull}},
{{11002860125276960320ull, 31352853188206991ull}},
{{5112939285479657920ull, 25082282550565593ull}},
{{11469049057867546944ull, 20065826040452474ull}},
{{7282432048362344192ull, 32105321664723959ull}},
{{9515294453431785664ull, 25684257331779167ull}},
{{233537933261607872ull, 20547405865423334ull}},
{{7752358322702393280ull, 32875849384677334ull}},
{{9891235472903824960ull, 26300679507741867ull}},
{{534290748839239296ull, 21040543606193494ull}},
{{8233562827626603520ull, 33664869769909590ull}},
{{6586850262101282816ull, 26931895815927672ull}},
{{16337526653906757248ull, 21545516652742137ull}},
{{11382647387283170304ull, 34472826644387420ull}},
{{9106117909826536256ull, 27578261315509936ull}},
{{3595545513119318656ull, 22062609052407949ull}},
{{13131570450474730496ull, 35300174483852718ull}},
{{17883953989863605056ull, 28240139587082174ull}},
{{17996512006632794368ull, 22592111669665739ull}},
{{18086558420048145792ull, 18073689335732591ull}},
{{3113051768883661056ull, 28917902937172147ull}},
{{13558487859332659776ull, 23134322349737717ull}},
{{3468092657982307200ull, 18507457879790174ull}},
{{12927645882255512128ull, 29611932607664278ull}},
{{17720814335288230336ull, 23689546086131422ull}},
{{6797953838746763648ull, 18951636868905138ull}},
{{7187377327252911552ull, 30322618990248221ull}},
{{2060553047060418880ull, 24258095192198577ull}},
{{12716488881874066048ull, 19406476153758861ull}},
{{12967684581514685120ull, 31050361846014178ull}},
{{17752845294695568704ull, 24840289476811342ull}},
{{6823578606272634304ull, 19872231581449074ull}},
{{18296423399520035584ull, 31795570530318518ull}},
{{3569092275390297472ull, 25436456424254815ull}},
{{2855273820312237952ull, 20349165139403852ull}},
{{8257786927241491136ull, 32558664223046163ull}},
{{13984927171277013504ull, 26046931378436930ull}},
{{11187941737021610816ull, 20837545102749544ull}},
{{6832660335008846336ull, 33340072164399271ull}},
{{1776779453265166784ull, 26672057731519417ull}},
{{12489470006837864384ull, 21337646185215533ull}},
{{16293803196198672704ull, 34140233896344853ull}},
{{1966996112733207168ull, 27312187117075883ull}},
{{8952294519670386368ull, 21849749693660706ull}},
{{6944973601988797568ull, 34959599509857130ull}},
{{5555978881591038080ull, 27967679607885704ull}},
{{8134131920014740736ull, 22374143686308563ull}},
{{9325262257281674880ull, 35798629898093701ull}},
{{3770860991083429568ull, 28638903918474961ull}},
{{17774084051834384960ull, 22911123134779968ull}},
{{3151220797241777024ull, 18328898507823975ull}},
{{5041953275586843200ull, 29326237612518360ull}},
{{4033562620469474560ull, 23460990090014688ull}},
{{10605547725859400320ull, 18768792072011750ull}},
{{16968876361375040512ull, 30030067315218800ull}},
{{13575101089100032384ull, 24024053852175040ull}},
{{10860080871280025920ull, 19219243081740032ull}},
{{2618734135080400192ull, 30750788930784052ull}},
{{13163033752290051072ull, 24600631144627241ull}},
{{6841078187090130560ull, 19680504915701793ull}},
{{7256376284602298560ull, 31488807865122869ull}},
{{9494449842423749184ull, 25191046292098295ull}},
{{7595559873938999360ull, 20152837033678636ull}},
{{4774198168818578304ull, 32244539253885818ull}},
{{11198056164538683264ull, 25795631403108654ull}},
{{12647793746372856960ull, 20636505122486923ull}},
{{16547121179454660800ull, 33018408195979077ull}},
{{5858999314079907968ull, 26414726556783262ull}},
{{15755245895489657344ull, 21131781245426609ull}},
{{14140346988557720832ull, 33810849992682575ull}},
{{11312277590846176640ull, 27048679994146060ull}},
{{9049822072676941312ull, 21638943995316848ull}},
{{10790366501541195776ull, 34622310392506957ull}},
{{1253595571749136000ull, 27697848314005566ull}},
{{15760271716366950080ull, 22158278651204452ull}},
{{10459039487219478848ull, 35453245841927124ull}},
{{12056580404517493376ull, 28362596673541699ull}},
{{13334613138355905024ull, 22690077338833359ull}},
{{14357039325426634368ull, 18152061871066687ull}},
{{8213867661714973696ull, 29043298993706700ull}},
{{6571094129371978944ull, 23234639194965360ull}},
{{5256875303497583168ull, 18587711355972288ull}},
{{4721651670854222720ull, 29740338169555661ull}},
{{87972521941467840ull, 23792270535644529ull}},
{{3759726832295084608ull, 19033816428515623ull}},
{{2326214116930225024ull, 30454106285624997ull}},
{{12929017737769910976ull, 24363285028499997ull}},
{{2964516560732108160ull, 19490628022799998ull}},
{{1053877682429462720ull, 31185004836479997ull}},
{{11911148590169301120ull, 24948003869183997ull}},
{{2150221242651620288ull, 19958403095347198ull}},
{{18197749247210233728ull, 31933444952555516ull}},
{{10868850583026276672ull, 25546755962044413ull}},
{{16073778095904841984ull, 20437404769635530ull}},
{{7271300879738195520ull, 32699847631416849ull}},
{{9506389518532466752ull, 26159878105133479ull}},
{{11294460429567883712ull, 20927902484106783ull}},
{{14381787872566703680ull, 33484643974570853ull}},
{{437383853827631936ull, 26787715179656683ull}},
{{7728604712545926208ull, 21430172143725346ull}},
{{4987069910589661312ull, 34288275429960554ull}},
{{7679004743213639360ull, 27430620343968443ull}},
{{13521901424054732096ull, 21944496275174754ull}},
{{10566995834261840448ull, 35111194040279607ull}},
{{1074899037925651712ull, 28088955232223686ull}},
{{15617314489308162624ull, 22471164185778948ull}},
{{2851610294441598336ull, 35953862697246318ull}},
{{9659985865037099264ull, 28763090157797054ull}},
{{11417337506771589760ull, 23010472126237643ull}},
{{16512567634901092416ull, 18408377700990114ull}},
{{15352061771616016960ull, 29453404321584183ull}},
{{1213602973067082560ull, 23562723457267347ull}},
{{12038928822679397056ull, 18850178765813877ull}},
{{4504890857319393984ull, 30160286025302204ull}},
{{7293261500597425472ull, 24128228820241763ull}},
{{13213306829961761024ull, 19302583056193410ull}},
{{2694546854229266048ull, 30884132889909457ull}},
{{13223683927609143808ull, 24707306311927565ull}},
{{10578947142087315072ull, 19765845049542052ull}},
{{2168920168372062784ull, 31625352079267284ull}},
{{5424484949439560576ull, 25300281663413827ull}},
{{15407634403777379392ull, 20240225330731061ull}},
{{17273517416559986432ull, 32384360529169698ull}},
{{2750767489022258176ull, 25907488423335759ull}}
};

static const int exponents_binary64[] = { -55,
  -51,
  -48,
  -45,
  -41,
  -38,
  -35,
  -31,
  -28,
  -25,
  -22,
  -18,
  -15,
  -12,
  -8,
  -5,
  -2,
  2,
  5,
  8,
  12,
  15,
  18,
  22,
  25,
  28,
  32,
  35,
  38,
  42,
  45,
  48,
  52,
  55,
  58,
  62,
  65,
  68,
  71,
  75,
  78,
  81,
  85,
  88,
  91,
  95,
  98,
  101,
  105,
  108,
  111,
  115,
  118,
  121,
  125,
  128,
  131,
  135,
  138,
  141,
  145,
  148,
  151,
  155,
  158,
  161,
  164,
  168,
  171,
  174,
  178,
  181,
  184,
  188,
  191,
  194,
  198,
  201,
  204,
  208,
  211,
  214,
  218,
  221,
  224,
  228,
  231,
  234,
  238,
  241,
  244,
  248,
  251,
  254,
  258,
  261,
  264,
  267,
  271,
  274,
  277,
  281,
  284,
  287,
  291,
  294,
  297,
  301,
  304,
  307,
  311,
  314,
  317,
  321,
  324,
  327,
  331,
  334,
  337,
  341,
  344,
  347,
  351,
  354,
  357,
  360,
  364,
  367,
  370,
  374,
  377,
  380,
  384,
  387,
  390,
  394,
  397,
  400,
  404,
  407,
  410,
  414,
  417,
  420,
  424,
  427,
  430,
  434,
  437,
  440,
  444,
  447,
  450,
  454,
  457,
  460,
  463,
  467,
  470,
  473,
  477,
  480,
  483,
  487,
  490,
  493,
  497,
  500,
  503,
  507,
  510,
  513,
  517,
  520,
  523,
  527,
  530,
  533,
  537,
  540,
  543,
  547,
  550,
  553,
  556,
  560,
  563,
  566,
  570,
  573,
  576,
  580,
  583,
  586,
  590,
  593,
  596,
  600,
  603,
  606,
  610,
  613,
  616,
  620,
  623,
  626,
  630,
  633,
  636,
  640,
  643,
  646,
  649,
  653,
  656,
  659,
  663,
  666,
  669,
  673,
  676,
  679,
  683,
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  2151,
  2154,
  2158,
  2161,
};

static const UINT256 multipliers1_binary64[] =
  { {{1837554224478941466ull, 10276842184138466546ull,
      11651621577776737258ull, 7754513766366540701ull}},
{{5760157408726726321ull, 11034712383513929495ull,
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{{7847324446528662900ull, 1100837034744657172ull,
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{{14127949815935190120ull, 16828924211211268396ull,
  17722066157739635437ull, 4732979593729578064ull}},
{{17659937269918987650ull, 7201097208731921783ull,
  3705838623464992681ull, 5916224492161972581ull}},
{{17463235568971346659ull, 13613057529342290133ull,
  9243984297758628755ull, 7395280615202465726ull}},
{{13220365239820785614ull, 6202317946625237381ull,
  1165804167671755068ull, 4622050384501541079ull}},
{{2690398494493818305ull, 7752897433281546727ull,
  15292313264871857547ull, 5777562980626926348ull}},
{{17198056173399436594ull, 5079435773174545504ull,
  668647507380270318ull, 7221953725783657936ull}},
{{3050826143039744126ull, 15572666753322957689ull,
  835809384225337897ull, 9027442157229572420ull}},
{{13435981385468309839ull, 2815387693185766699ull,
  9745752901995611994ull, 5642151348268482762ull}},
{{12183290713407999394ull, 12742606653336984182ull,
  2958819090639739184ull, 7052689185335603453ull}},
{{6005741354905223435ull, 15928258316671230228ull,
  8310209881727061884ull, 8815861481669504316ull}},
{{12976960383670540455ull, 731789411064743084ull,
  14417253212934189486ull, 5509913426043440197ull}},
{{16221200479588175569ull, 10138108800685704663ull,
  4186508460885573145ull, 6887391782554300247ull}},
{{15664814581057831557ull, 17284322019284518733ull,
  621449557679578527ull, 8609239728192875309ull}},
{{12096352122374838675ull, 17720230289693906064ull,
  2694248982763430531ull, 5380774830120547068ull}},
{{15120440152968548344ull, 17538601843689994676ull,
  3367811228454288164ull, 6725968537650683835ull}},
{{453806117501133814ull, 3476508230902941730ull,
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{{4895314841865596538ull, 16007875699596502293ull,
  4360484779140183092ull, 5254662920039596746ull}},
{{10730829570759383576ull, 1563100550786076250ull,
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{{4190164926594453662ull, 11177247725337371121ull,
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{{14148068125190003299ull, 11597465846763244854ull,
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{{8461713119632728315ull, 9885146290026668164ull,
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{{10577141399540910394ull, 3133060825678559397ull,
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{{8916556383926762949ull, 13487378062117569383ull,
  2746603857765721624ull, 5011237068214031931ull}},
{{6534009461481065782ull, 16859222577646961729ull,
  17268312877489315742ull, 6264046335267539913ull}},
{{12779197845278720131ull, 11850656185203926353ull,
  7750333041579480966ull, 7830057919084424892ull}},
{{1069469625658118226ull, 2794974097325066067ull,
  14067330187841951412ull, 4893786199427765557ull}},
{{15171895087354811494ull, 3493717621656332583ull,
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{{14353182840766126464ull, 8978833045497803633ull, 74694830972956537ull,
  7646540936605883684ull}},
{{2053210247837747184ull, 17140985699504597031ull,
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{{16401570865079347692ull, 16814546105953358384ull,
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{{2055219507639632999ull, 11794810595586922173ull,
  2955247932389145308ull, 7467325133404183285ull}},
{{3590355201488464576ull, 16595128659096602166ull,
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{{13711316038715356528ull, 6908852768588588995ull,
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{{15659323787458509695ull, 6183396432492282401ull,
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{{2869548339520486704ull, 8476308788735064405ull,
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{{8198621442827996284ull, 10595385985918830506ull,
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{{1024904766680219546ull, 4020860445543762325ull,
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{{2946408488388831169ull, 7124723796892239357ull,
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{{8294696628913426865ull, 4294218727687911292ull,
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{{10368370786141783581ull, 9979459428037277019ull,
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{{4174388732124920786ull, 1625476124095910233ull,
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{{14268925459244948351ull, 15486675454216949224ull,
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{{8918078412028092720ull, 5067486140458205361ull,
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{{15759284033462503804ull, 1722671657145368797ull,
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{{5864046986545966042ull, 11376711608286486805ull,
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{{5970872375804922729ull, 4804601745965360301ull,
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{{12075276488183541315ull, 15229124219311476184ull,
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{{15094095610229426643ull, 589661200429793614ull,
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{{4822123737966003748ull, 368538250268621009ull, 6852382981362888297ull,
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{{10639340690884892589ull, 5072358831263164165ull,
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{{17910861882033503640ull, 1728762520651567302ull,
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{{6582602657843551871ull, 10303848612262005372ull,
  1359518296430528338ull, 4825645764048352679ull}},
{{8228253322304439839ull, 3656438728472730907ull,
  15534455925820324135ull, 6032057205060440848ull}},
{{5673630634453161895ull, 18405606465873077346ull,
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{{8157705164960614088ull, 11503504041170673341ull,
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{{14808817474628155514ull, 5156008014608565868ull,
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{{64277769575642777ull, 6445010018260707336ull, 1092675572417509732ull,
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{{80347211969553471ull, 8056262522825884170ull, 10589216502376662973ull,
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{{4661903025908358824ull, 7341007085979871558ull,
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{{15050750819240224337ull, 18399630894329615255ull,
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{{1263656328638160163ull, 8598629297475643386ull,
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{{5401471223826238006ull, 14597515347777052924ull,
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{{6751839029782797507ull, 18246894184721316155ull,
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{{3828112768801108980ull, 8973559675619481482ull,
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{{7004256498928081017ull, 14831846834116951734ull,
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{{13308541577943396715ull, 8841884880418778424ull,
  12397292596999459283ull, 8209073602596752498ull}},
{{8317838486214622947ull, 3220335041048042563ull,
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{{5785612089340890780ull, 4025418801310053204ull,
  10838306346012674541ull, 6413338752028712889ull}}
};

static const UINT256 multipliers2_binary64[] =
  { {{918777112239470733ull, 5138421092069233273ull,
      15049182825743144437ull, 3877256883183270350ull}},
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{{3923662223264331450ull, 9773790554227104394ull,
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{{7063974907967595060ull, 17637834142460410006ull,
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{{18053340671814269633ull, 12823920641220736699ull,
  11076291348587272148ull, 2958112246080986290ull}},
{{17954989821340449138ull, 16029900801525920874ull,
  4621992148879314377ull, 3697640307601232863ull}},
{{15833554656765168615ull, 3101158973312618690ull,
  9806274120690653342ull, 2311025192250770539ull}},
{{10568571284101684961ull, 13099820753495549171ull,
  7646156632435928773ull, 2888781490313463174ull}},
{{8599028086699718297ull, 2539717886587272752ull, 334323753690135159ull,
  3610976862891828968ull}},
{{10748785108374647871ull, 17009705413516254652ull,
  417904692112668948ull, 4513721078614786210ull}},
{{15941362729588930728ull, 1407693846592883349ull,
  4872876450997805997ull, 2821075674134241381ull}},
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  10702781582174645400ull, 3526344592667801726ull}},
{{3002870677452611718ull, 7964129158335615114ull,
  4155104940863530942ull, 4407930740834752158ull}},
{{6488480191835270228ull, 365894705532371542ull,
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  1347124491381715265ull, 2690387415060273534ull}},
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  10907277651081919890ull, 3362984268825341917ull}},
{{226903058750566907ull, 1738254115451470865ull,
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};

// **********************************************************************

#if __ENABLE_BINARY80__

static const UINT128 breakpoints_binary80[] =
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{{5069842206342443447ull, 395213325161012ull}},
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{{14480046313327353364ull, 403096709981480ull}},
{{11584037050661882691ull, 322477367985184ull}},
{{7466412836833281337ull, 515963788776295ull}},
{{5973130269466625069ull, 412771031021036ull}},
{{1089155400831389732ull, 330216824816829ull}},
{{9121346270814044218ull, 528346919706926ull}},
{{3607728201909325051ull, 422677535765541ull}},
{{17643577820495101334ull, 338142028612432ull}},
{{13472329253824520841ull, 541027245779892ull}},
{{3399165773575796026ull, 432821796623914ull}},
{{6408681433602547144ull, 346257437299131ull}},
{{2875192664280254785ull, 554011899678610ull}},
{{2300154131424203828ull, 443209519742888ull}},
{{9218820934623183708ull, 354567615794310ull}},
{{7375056747698546967ull, 283654092635448ull}},
{{8110741981575764824ull, 453846548216717ull}},
{{17556640029486342828ull, 363077238573373ull}},
{{2977265579363343293ull, 290461790858699ull}},
{{12142322556465169916ull, 464738865373918ull}},
{{17092555674655956579ull, 371791092299134ull}},
{{17363393354466675586ull, 297432873839307ull}},
{{13024034108179039645ull, 475892598142892ull}},
{{3040529657059411070ull, 380714078514314ull}},
{{6121772540389439179ull, 304571262811451ull}},
{{2416138435139282040ull, 487314020498322ull}},
{{13000957192337156602ull, 389851216398657ull}},
{{3022068124385904635ull, 311880973118926ull}},
{{15903355443243178386ull, 499009556990281ull}},
{{9033335539852632385ull, 399207645592225ull}},
{{7226668431882105908ull, 319366116473780ull}},
{{11562669491011369453ull, 510985786358048ull}},
{{16628833222292916209ull, 408788629086438ull}},
{{2235020133608601997ull, 327030903269151ull}},
{{14644078657999494166ull, 523249445230641ull}},
{{8025914111657685009ull, 418599556184513ull}},
{{13799428918809968654ull, 334879644947610ull}},
{{3632342196386398230ull, 535807431916177ull}}
};

static const int exponents_binary80[] = { -65,
  -62,
  -59,
  -55,
  -52,
  -49,
  -45,
  -42,
  -39,
  -35,
  -32,
  -29,
  -25,
  -22,
  -19,
  -15,
  -12,
  -9,
  -6,
  -2,
  1,
  4,
  8,
  11,
  14,
  18,
  21,
  24,
  28,
  31,
  34,
  38,
  41,
  44,
  48,
  51,
  54,
  58,
  61,
  64,
  68,
  71,
  74,
  78,
  81,
  84,
  87,
  91,
  94,
  97,
  101,
  104,
  107,
  111,
  114,
  117,
  121,
  124,
  127,
  131,
  134,
  137,
  141,
  144,
  147,
  151,
  154,
  157,
  161,
  164,
  167,
  171,
  174,
  177,
  181,
  184,
  187,
  190,
  194,
  197,
  200,
  204,
  207,
  210,
  214,
  217,
  220,
  224,
  227,
  230,
  234,
  237,
  240,
  244,
  247,
  250,
  254,
  257,
  260,
  264,
  267,
  270,
  274,
  277,
  280,
  283,
  287,
  290,
  293,
  297,
  300,
  303,
  307,
  310,
  313,
  317,
  320,
  323,
  327,
  330,
  333,
  337,
  340,
  343,
  347,
  350,
  353,
  357,
  360,
  363,
  367,
  370,
  373,
  377,
  380,
  383,
  386,
  390,
  393,
  396,
  400,
  403,
  406,
  410,
  413,
  416,
  420,
  423,
  426,
  430,
  433,
  436,
  440,
  443,
  446,
  450,
  453,
  456,
  460,
  463,
  466,
  470,
  473,
  476,
  479,
  483,
  486,
  489,
  493,
  496,
  499,
  503,
  506,
  509,
  513,
  516,
  519,
  523,
  526,
  529,
  533,
  536,
  539,
  543,
  546,
  549,
  553,
  556,
  559,
  563,
  566,
  569,
  572,
  576,
  579,
  582,
  586,
  589,
  592,
  596,
  599,
  602,
  606,
  609,
  612,
  616,
  619,
  622,
  626,
  629,
  632,
  636,
  639,
  642,
  646,
  649,
  652,
  656,
  659,
  662,
  666,
  669,
  672,
  675,
  679,
  682,
  685,
  689,
  692,
  695,
  699,
  702,
  705,
  709,
  712,
  715,
  719,
  722,
  725,
  729,
  732,
  735,
  739,
  742,
  745,
  749,
  752,
  755,
  759,
  762,
  765,
  768,
  772,
  775,
  778,
  782,
  785,
  788,
  792,
  795,
  798,
  802,
  805,
  808,
  812,
  815,
  818,
  822,
  825,
  828,
  832,
  835,
  838,
  842,
  845,
  848,
  852,
  855,
  858,
  862,
  865,
  868,
  871,
  875,
  878,
  881,
  885,
  888,
  891,
  895,
  898,
  901,
  905,
  908,
  911,
  915,
  918,
  921,
  925,
  928,
  931,
  935,
  938,
  941,
  945,
  948,
  951,
  955,
  958,
  961,
  964,
  968,
  971,
  974,
  978,
  981,
  984,
  988,
  991,
  994,
  998,
  1001,
  1004,
  1008,
  1011,
  1014,
  1018,
  1021,
  1024,
  1028,
  1031,
  1034,
  1038,
  1041,
  1044,
  1048,
  1051,
  1054,
  1058,
  1061,
  1064,
  1067,
  1071,
  1074,
  1077,
  1081,
  1084,
  1087,
  1091,
  1094,
  1097,
  1101,
  1104,
  1107,
  1111,
  1114,
  1117,
  1121,
  1124,
  1127,
  1131,
  1134,
  1137,
  1141,
  1144,
  1147,
  1151,
  1154,
  1157,
  1160,
  1164,
  1167,
  1170,
  1174,
  1177,
  1180,
  1184,
  1187,
  1190,
  1194,
  1197,
  1200,
  1204,
  1207,
  1210,
  1214,
  1217,
  1220,
  1224,
  1227,
  1230,
  1234,
  1237,
  1240,
  1244,
  1247,
  1250,
  1253,
  1257,
  1260,
  1263,
  1267,
  1270,
  1273,
  1277,
  1280,
  1283,
  1287,
  1290,
  1293,
  1297,
  1300,
  1303,
  1307,
  1310,
  1313,
  1317,
  1320,
  1323,
  1327,
  1330,
  1333,
  1337,
  1340,
  1343,
  1347,
  1350,
  1353,
  1356,
  1360,
  1363,
  1366,
  1370,
  1373,
  1376,
  1380,
  1383,
  1386,
  1390,
  1393,
  1396,
  1400,
  1403,
  1406,
  1410,
  1413,
  1416,
  1420,
  1423,
  1426,
  1430,
  1433,
  1436,
  1440,
  1443,
  1446,
  1449,
  1453,
  1456,
  1459,
  1463,
  1466,
  1469,
  1473,
  1476,
  1479,
  1483,
  1486,
  1489,
  1493,
  1496,
  1499,
  1503,
  1506,
  1509,
  1513,
  1516,
  1519,
  1523,
  1526,
  1529,
  1533,
  1536,
  1539,
  1543,
  1546,
  1549,
  1552,
  1556,
  1559,
  1562,
  1566,
  1569,
  1572,
  1576,
  1579,
  1582,
  1586,
  1589,
  1592,
  1596,
  1599,
  1602,
  1606,
  1609,
  1612,
  1616,
  1619,
  1622,
  1626,
  1629,
  1632,
  1636,
  1639,
  1642,
  1645,
  1649,
  1652,
  1655,
  1659,
  1662,
  1665,
  1669,
  1672,
  1675,
  1679,
  1682,
  1685,
  1689,
  1692,
  1695,
  1699,
  1702,
  1705,
  1709,
  1712,
  1715,
  1719,
  1722,
  1725,
  1729,
  1732,
  1735,
  1738,
  1742,
  1745,
  1748,
  1752,
  1755,
  1758,
  1762,
  1765,
  1768,
  1772,
  1775,
  1778,
  1782,
  1785,
  1788,
  1792,
  1795,
  1798,
  1802,
  1805,
  1808,
  1812,
  1815,
  1818,
  1822,
  1825,
  1828,
  1832,
  1835,
  1838,
  1841,
  1845,
  1848,
  1851,
  1855,
  1858,
  1861,
  1865,
  1868,
  1871,
  1875,
  1878,
  1881,
  1885,
  1888,
  1891,
  1895,
  1898,
  1901,
  1905,
  1908,
  1911,
  1915,
  1918,
  1921,
  1925,
  1928,
  1931,
  1934,
  1938,
  1941,
  1944,
  1948,
  1951,
  1954,
  1958,
  1961,
  1964,
  1968,
  1971,
  1974,
  1978,
  1981,
  1984,
  1988,
  1991,
  1994,
  1998,
  2001,
  2004,
  2008,
  2011,
  2014,
  2018,
  2021,
  2024,
  2028,
  2031,
  2034,
  2037,
  2041,
  2044,
  2047,
  2051,
  2054,
  2057,
  2061,
  2064,
  2067,
  2071,
  2074,
  2077,
  2081,
  2084,
  2087,
  2091,
  2094,
  2097,
  2101,
  2104,
  2107,
  2111,
  2114,
  2117,
  2121,
  2124,
  2127,
  2130,
  2134,
  2137,
  2140,
  2144,
  2147,
  2150,
  2154,
  2157,
  2160,
  2164,
  2167,
  2170,
  2174,
  2177,
  2180,
  2184,
  2187,
  2190,
  2194,
  2197,
  2200,
  2204,
  2207,
  2210,
  2214,
  2217,
  2220,
  2223,
  2227,
  2230,
  2233,
  2237,
  2240,
  2243,
  2247,
  2250,
  2253,
  2257,
  2260,
  2263,
  2267,
  2270,
  2273,
  2277,
  2280,
  2283,
  2287,
  2290,
  2293,
  2297,
  2300,
  2303,
  2307,
  2310,
  2313,
  2317,
  2320,
  2323,
  2326,
  2330,
  2333,
  2336,
  2340,
  2343,
  2346,
  2350,
  2353,
  2356,
  2360,
  2363,
  2366,
  2370,
  2373,
  2376,
  2380,
  2383,
  2386,
  2390,
  2393,
  2396,
  2400,
  2403,
  2406,
  2410,
  2413,
  2416,
  2419,
  2423,
  2426,
  2429,
  2433,
  2436,
  2439,
  2443,
  2446,
  2449,
  2453,
  2456,
  2459,
  2463,
  2466,
  2469,
  2473,
  2476,
  2479,
  2483,
  2486,
  2489,
  2493,
  2496,
  2499,
  2503,
  2506,
  2509,
  2513,
  2516,
  2519,
  2522,
  2526,
  2529,
  2532,
  2536,
  2539,
  2542,
  2546,
  2549,
  2552,
  2556,
  2559,
  2562,
  2566,
  2569,
  2572,
  2576,
  2579,
  2582,
  2586,
  2589,
  2592,
  2596,
  2599,
  2602,
  2606,
  2609,
  2612,
  2615,
  2619,
  2622,
  2625,
  2629,
  2632,
  2635,
  2639,
  2642,
  2645,
  2649,
  2652,
  2655,
  2659,
  2662,
  2665,
  2669,
  2672,
  2675,
  2679,
  2682,
  2685,
  2689,
  2692,
  2695,
  2699,
  2702,
  2705,
  2708,
  2712,
  2715,
  2718,
  2722,
  2725,
  2728,
  2732,
  2735,
  2738,
  2742,
  2745,
  2748,
  2752,
  2755,
  2758,
  2762,
  2765,
  2768,
  2772,
  2775,
  2778,
  2782,
  2785,
  2788,
  2792,
  2795,
  2798,
  2802,
  2805,
  2808,
  2811,
  2815,
  2818,
  2821,
  2825,
  2828,
  2831,
  2835,
  2838,
  2841,
  2845,
  2848,
  2851,
  2855,
  2858,
  2861,
  2865,
  2868,
  2871,
  2875,
  2878,
  2881,
  2885,
  2888,
  2891,
  2895,
  2898,
  2901,
  2904,
  2908,
  2911,
  2914,
  2918,
  2921,
  2924,
  2928,
  2931,
  2934,
  2938,
  2941,
  2944,
  2948,
  2951,
  2954,
  2958,
  2961,
  2964,
  2968,
  2971,
  2974,
  2978,
  2981,
  2984,
  2988,
  2991,
  2994,
  2998,
  3001,
  3004,
  3007,
  3011,
  3014,
  3017,
  3021,
  3024,
  3027,
  3031,
  3034,
  3037,
  3041,
  3044,
  3047,
  3051,
  3054,
  3057,
  3061,
  3064,
  3067,
  3071,
  3074,
  3077,
  3081,
  3084,
  3087,
  3091,
  3094,
  3097,
  3100,
  3104,
  3107,
  3110,
  3114,
  3117,
  3120,
  3124,
  3127,
  3130,
  3134,
  3137,
  3140,
  3144,
  3147,
  3150,
  3154,
  3157,
  3160,
  3164,
  3167,
  3170,
  3174,
  3177,
  3180,
  3184,
  3187,
  3190,
  3193,
  3197,
  3200,
  3203,
  3207,
  3210,
  3213,
  3217,
  3220,
  3223,
  3227,
  3230,
  3233,
  3237,
  3240,
  3243,
  3247,
  3250,
  3253,
  3257,
  3260,
  3263,
  3267,
  3270,
  3273,
  3277,
  3280,
  3283,
  3287,
  3290,
  3293,
  3296,
  3300,
  3303,
  3306,
  3310,
  3313,
  3316,
  3320,
  3323,
  3326,
  3330,
  3333,
  3336,
  3340,
  3343,
  3346,
  3350,
  3353,
  3356,
  3360,
  3363,
  3366,
  3370,
  3373,
  3376,
  3380,
  3383,
  3386,
  3389,
  3393,
  3396,
  3399,
  3403,
  3406,
  3409,
  3413,
  3416,
  3419,
  3423,
  3426,
  3429,
  3433,
  3436,
  3439,
  3443,
  3446,
  3449,
  3453,
  3456,
  3459,
  3463,
  3466,
  3469,
  3473,
  3476,
  3479,
  3483,
  3486,
  3489,
  3492,
  3496,
  3499,
  3502,
  3506,
  3509,
  3512,
  3516,
  3519,
  3522,
  3526,
  3529,
  3532,
  3536,
  3539,
  3542,
  3546,
  3549,
  3552,
  3556,
  3559,
  3562,
  3566,
  3569,
  3572,
  3576,
  3579,
  3582,
  3585,
  3589,
  3592,
  3595,
  3599,
  3602,
  3605,
  3609,
  3612,
  3615,
  3619,
  3622,
  3625,
  3629,
  3632,
  3635,
  3639,
  3642,
  3645,
  3649,
  3652,
  3655,
  3659,
  3662,
  3665,
  3669,
  3672,
  3675,
  3679,
  3682,
  3685,
  3688,
  3692,
  3695,
  3698,
  3702,
  3705,
  3708,
  3712,
  3715,
  3718,
  3722,
  3725,
  3728,
  3732,
  3735,
  3738,
  3742,
  3745,
  3748,
  3752,
  3755,
  3758,
  3762,
  3765,
  3768,
  3772,
  3775,
  3778,
  3781,
  3785,
  3788,
  3791,
  3795,
  3798,
  3801,
  3805,
  3808,
  3811,
  3815,
  3818,
  3821,
  3825,
  3828,
  3831,
  3835,
  3838,
  3841,
  3845,
  3848,
  3851,
  3855,
  3858,
  3861,
  3865,
  3868,
  3871,
  3874,
  3878,
  3881,
  3884,
  3888,
  3891,
  3894,
  3898,
  3901,
  3904,
  3908,
  3911,
  3914,
  3918,
  3921,
  3924,
  3928,
  3931,
  3934,
  3938,
  3941,
  3944,
  3948,
  3951,
  3954,
  3958,
  3961,
  3964,
  3968,
  3971,
  3974,
  3977,
  3981,
  3984,
  3987,
  3991,
  3994,
  3997,
  4001,
  4004,
  4007,
  4011,
  4014,
  4017,
  4021,
  4024,
  4027,
  4031,
  4034,
  4037,
  4041,
  4044,
  4047,
  4051,
  4054,
  4057,
  4061,
  4064,
  4067,
  4070,
  4074,
  4077,
  4080,
  4084,
  4087,
  4090,
  4094,
  4097,
  4100,
  4104,
  4107,
  4110,
  4114,
  4117,
  4120,
  4124,
  4127,
  4130,
  4134,
  4137,
  4140,
  4144,
  4147,
  4150,
  4154,
  4157,
  4160,
  4164,
  4167,
  4170,
  4173,
  4177,
  4180,
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  31377,
  31380,
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  31387,
  31390,
  31393,
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  31400,
  31403,
  31407,
  31410,
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  31417,
  31420,
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  31427,
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  31440,
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  31480,
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  31490,
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  31500,
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  31533,
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  31682,
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  31739,
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  31749,
  31752,
  31755,
  31759,
  31762,
  31765,
  31769,
  31772,
  31775,
  31779,
  31782,
  31785,
  31789,
  31792,
  31795,
  31799,
  31802,
  31805,
  31809,
  31812,
  31815,
  31819,
  31822,
  31825,
  31829,
  31832,
  31835,
  31838,
  31842,
  31845,
  31848,
  31852,
  31855,
  31858,
  31862,
  31865,
  31868,
  31872,
  31875,
  31878,
  31882,
  31885,
  31888,
  31892,
  31895,
  31898,
  31902,
  31905,
  31908,
  31912,
  31915,
  31918,
  31922,
  31925,
  31928,
  31931,
  31935,
  31938,
  31941,
  31945,
  31948,
  31951,
  31955,
  31958,
  31961,
  31965,
  31968,
  31971,
  31975,
  31978,
  31981,
  31985,
  31988,
  31991,
  31995,
  31998,
  32001,
  32005,
  32008,
  32011,
  32015,
  32018,
  32021,
  32025,
  32028,
  32031,
  32034,
  32038,
  32041,
  32044,
  32048,
  32051,
  32054,
  32058,
  32061,
  32064,
  32068,
  32071,
  32074,
  32078,
  32081,
  32084,
  32088,
  32091,
  32094,
  32098,
  32101,
  32104,
  32108,
  32111,
  32114,
  32118,
  32121,
  32124,
  32127,
  32131,
  32134,
  32137,
  32141,
  32144,
  32147,
  32151,
  32154,
  32157,
  32161,
  32164,
  32167,
  32171,
  32174,
  32177,
  32181,
  32184,
  32187,
  32191,
  32194,
  32197,
  32201,
  32204,
  32207,
  32211,
  32214,
  32217,
  32221,
  32224,
  32227,
  32230,
  32234,
  32237,
  32240,
  32244,
  32247,
  32250,
  32254,
  32257,
  32260,
  32264,
  32267,
  32270,
  32274,
  32277,
  32280,
  32284,
  32287,
  32290,
  32294,
  32297,
  32300,
  32304,
  32307,
  32310,
  32314,
  32317,
  32320,
  32323,
  32327,
  32330,
  32333,
  32337,
  32340,
  32343,
  32347,
  32350,
  32353,
  32357,
  32360,
  32363,
  32367,
  32370,
  32373,
  32377,
  32380,
  32383,
  32387,
  32390,
  32393,
  32397,
  32400,
  32403,
  32407,
  32410,
  32413,
  32417,
  32420,
  32423,
  32426,
  32430,
  32433,
  32436,
  32440,
  32443,
  32446,
  32450,
  32453,
  32456,
  32460,
  32463,
  32466,
  32470,
  32473,
  32476,
  32480,
  32483,
  32486,
  32490,
  32493,
  32496,
  32500,
  32503,
  32506,
  32510,
  32513,
  32516,
  32519,
  32523,
  32526,
  32529,
  32533,
  32536,
  32539,
  32543,
  32546,
  32549,
  32553,
  32556,
  32559,
  32563,
  32566,
  32569,
  32573,
  32576,
  32579,
  32583,
  32586,
  32589,
  32593,
  32596,
  32599,
  32603,
  32606,
  32609,
  32612,
  32616,
  32619,
  32622,
  32626,
  32629,
  32632,
  32636,
  32639,
  32642,
  32646,
  32649,
  32652,
  32656,
  32659,
  32662,
  32666,
  32669,
  32672,
  32676,
  32679,
  32682,
  32686,
  32689,
  32692,
  32696,
  32699,
  32702,
  32706,
  32709,
  32712,
  32715,
  32719,
  32722,
  32725,
  32729,
  32732,
  32735,
  32739,
  32742,
  32745,
  32749,
  32752,
  32755,
  32759,
  32762,
  32765,
  32769,
  32772,
  32775,
  32779,
  32782,
  32785,
  32789,
  32792,
  32795,
  32799,
  32802,
  32805,
  32808,
  32812,
  32815,
  32818,
  32822,
  32825,
  32828,
  32832,
  32835,
  32838,
  32842,
  32845,
  32848,
  32852,
  32855,
  32858,
  32862,
  32865,
  32868,
  32872,
  32875,
  32878,
  32882,
};

static const UINT256 multipliers1_binary80[] =
  { {{12415850090107640902ull, 14557465677128539270ull,
      4938398379086257084ull, 5255184001115807319ull}},
{{6296440575779775320ull, 18196832096410674088ull,
  1561311955430433451ull, 6568980001394759149ull}},
{{7870550719724719149ull, 18134354102085954706ull,
  6563325962715429718ull, 8211225001743448936ull}},
{{9530780218255337373ull, 6722285295376333787ull,
  4102078726697143574ull, 5132015626089655585ull}},
{{7301789254391783812ull, 17626228656075193042ull,
  9739284426798817371ull, 6415019532612069481ull}},
{{18350608604844505572ull, 17421099801666603398ull,
  16785791551925909618ull, 8018774415765086851ull}},
{{6857444359600428079ull, 15499873394469015028ull,
  8185276710739999559ull, 5011734009853179282ull}},
{{8571805449500535098ull, 14763155724658880881ull,
  1008223851570223641ull, 6264667512316474103ull}},
{{15326442830303056777ull, 4618886600541437389ull,
  15095337869744943264ull, 7830834390395592628ull}},
{{11884869778153104438ull, 2886804125338398368ull,
  211214131735813732ull, 4894271493997245393ull}},
{{14856087222691380547ull, 3608505156672997960ull,
  4875703683097155069ull, 6117839367496556741ull}},
{{123364954654674068ull, 9122317464268635355ull,
  10706315622298831740ull, 7647299209370695926ull}},
{{16218004161155028957ull, 14924820452022672904ull,
  2079761245509381933ull, 4779562005856684954ull}},
{{1825761127734234580ull, 4820967509746177419ull,
  11823073593741503225ull, 5974452507320856192ull}},
{{16117259464949956936ull, 10637895405610109677ull,
  14778841992176879031ull, 7468065634151070240ull}},
{{12379130174807417037ull, 13566213656147400404ull,
  9236776245110549394ull, 4667541021344418900ull}},
{{15473912718509271297ull, 7734395033329474697ull,
  11545970306388186743ull, 5834426276680523625ull}},
{{5507332842854425409ull, 5056307773234455468ull, 597404827703069717ull,
  7293032845850654532ull}},
{{6884166053568031761ull, 10932070734970457239ull,
  746756034628837146ull, 9116291057313318165ull}},
{{11220132811121101707ull, 11444230227783923678ull,
  2772565530856717168ull, 5697681910820823853ull}},
{{4801793977046601325ull, 14305287784729904598ull,
  8077392931998284364ull, 7122102388526029816ull}},
{{15225614508163027464ull, 17881609730912380747ull,
  10096741164997855455ull, 8902627985657537270ull}},
{{7210166058388198213ull, 18093535109461319823ull,
  1698777209696271755ull, 5564142491035960794ull}},
{{4401021554557859863ull, 18005232868399261875ull,
  11346843548975115502ull, 6955178113794950992ull}},
{{889590924769936924ull, 13283169048644301536ull,
  14183554436218894378ull, 8693972642243688740ull}},
{{555994327981210578ull, 12913666673830076364ull,
  18088093559491584794ull, 5433732901402305462ull}},
{{694992909976513222ull, 6918711305432819647ull,
  13386744912509705185ull, 6792166126752881828ull}},
{{14703799192752805239ull, 13260075150218412462ull,
  16733431140637131481ull, 8490207658441102285ull}},
{{4578188477043115371ull, 1370017941245425933ull,
  12764237472111901128ull, 5306379786525688928ull}},
{{10334421614731282117ull, 1712522426556782416ull,
  15955296840139876410ull, 6632974733157111160ull}},
{{12918027018414102647ull, 11364025070050753828ull,
  1497376976465293896ull, 8291218416446388951ull}},
{{17297138923363589962ull, 7102515668781721142ull,
  7853389637931890541ull, 5182011510278993094ull}},
{{12398051617349711645ull, 13489830604404539332ull,
  593365010560087368ull, 6477514387848741368ull}},
{{15497564521687139556ull, 16862288255505674165ull,
  741706263200109210ull, 8096892984810926710ull}},
{{11991820835268156175ull, 15150616178118434257ull,
  14298624469782231968ull, 5060558115506829193ull}},
{{1154717988803031506ull, 491526148938491206ull, 4038222531945626249ull,
  6325697644383536492ull}},
{{10666769522858565191ull, 5226093704600501911ull,
  5047778164932032811ull, 7907122055479420615ull}},
{{13584259979427685100ull, 960465556161619742ull,
  10072390380723602363ull, 4941951284674637884ull}},
{{7756952937429830567ull, 15035640000484188390ull,
  12590487975904502953ull, 6177439105843297355ull}},
{{472819134932512401ull, 4959491945323071776ull,
  11126423951453240788ull, 7721798882304121694ull}},
{{295511959332820251ull, 12323054502681695668ull,
  2342328951230887588ull, 4826124301440076059ull}},
{{369389949166025313ull, 15403818128352119585ull,
  16762969244320773197ull, 6032655376800095073ull}},
{{5073423454884919546ull, 5419714605157985769ull,
  7118653500118802785ull, 7540819221000118842ull}},
{{14700104705371544476ull, 14916536674292210865ull,
  9060844456001639644ull, 4713012013125074276ull}},
{{4540072826432266883ull, 198926769155711966ull,
  11326055570002049556ull, 5891265016406342845ull}},
{{14898463069895109412ull, 248658461444639957ull, 322511407220398233ull,
  7364081270507928557ull}},
{{4788020782086723053ull, 4922509095233187851ull,
  5014825277452885695ull, 9205101588134910696ull}},
{{686669979590507956ull, 9994097212161824263ull, 3134265798408053559ull,
  5753188492584319185ull}},
{{14693395529770298657ull, 7880935496774892424ull,
  8529518266437454853ull, 7191485615730398981ull}},
{{18366744412212873321ull, 14462855389396003434ull,
  15273583851474206470ull, 8989357019662998726ull}},
{{16090901276060433730ull, 4427598599945114242ull,
  4934303888743991140ull, 5618348137289374204ull}},
{{10890254558220766354ull, 5534498249931392803ull,
  6167879860929988925ull, 7022935171611717755ull}},
{{9001132179348570039ull, 11529808830841628908ull,
  3098163807735098252ull, 8778668964514647194ull}},
{{14849079648947632082ull, 16429502556130793875ull,
  6548038398261824311ull, 5486668102821654496ull}},
{{13949663542757152199ull, 15925192176736104440ull,
  8185047997827280389ull, 6858335128527068120ull}},
{{17437079428446440248ull, 6071432165637966838ull,
  10231309997284100487ull, 8572918910658835150ull}},
{{6286488624351637251ull, 10712174131164811130ull,
  1782882729875174900ull, 5358074319161771969ull}},
{{17081482817294322372ull, 13390217663956013912ull,
  6840289430771356529ull, 6697592898952214961ull}},
{{2905109447908351349ull, 2902714024662853679ull,
  13162047806891583566ull, 8371991123690268701ull}},
{{8733222432583801449ull, 15649254320696447261ull,
  10532122888520933680ull, 5232494452306417938ull}},
{{15528214059157139716ull, 1114823827161007460ull,
  3941781573796391293ull, 6540618065383022423ull}},
{{963523500236873028ull, 6005215802378647230ull, 315540948818101212ull,
  8175772581728778029ull}},
{{14437260242930209355ull, 12976631913341430326ull,
  2503056102225007209ull, 5109857863580486268ull}},
{{8823203266807985885ull, 2385731836394624196ull,
  3128820127781259012ull, 6387322329475607835ull}},
{{11029004083509982357ull, 2982164795493280245ull,
  17746083215008737477ull, 7984152911844509793ull}},
{{9198970561407432925ull, 4169696006396994105ull,
  4173772981739379067ull, 4990095569902818621ull}},
{{16110399220186679060ull, 600433989568854727ull,
  9828902245601611738ull, 6237619462378523276ull}},
{{15526313006805960921ull, 9973914523815844217ull,
  12286127807002014672ull, 7797024327973154095ull}},
{{2786416601612643720ull, 6233696577384902636ull,
  14596358907017341026ull, 4873140204983221309ull}},
{{3483020752015804650ull, 17015492758585904103ull,
  4410390578489512570ull, 6091425256229026637ull}},
{{18188833995301919524ull, 12045993911377604320ull,
  10124674241539278617ull, 7614281570286283296ull}},
{{11368021247063699703ull, 611217166969920844ull,
  6327921400962049136ull, 4758925981428927060ull}},
{{14210026558829624628ull, 764021458712401055ull,
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{{13150847180109642881ull, 955026823390501319ull,
  14499063207430589679ull, 7435821845982698531ull}},
{{15136808515209608657ull, 7514420792260145180ull,
  6756071495430424597ull, 4647388653739186582ull}},
{{474266570302459205ull, 14004712008752569380ull,
  17668461406142806554ull, 5809235817173983227ull}},
{{592833212878074006ull, 8282517974085935917ull,
  17473890739251120289ull, 7261544771467479034ull}},
{{5352727534524980412ull, 14964833486034807800ull,
  12618991387209124553ull, 9076930964334348793ull}},
{{3345454709078112758ull, 2435491901130673019ull, 969340589364620990ull,
  5673081852708967996ull}},
{{18016876441629804659ull, 12267736913268117081ull,
  1211675736705776237ull, 7091352315886209995ull}},
{{8686037496755092111ull, 1499613086302982640ull,
  15349652726164384009ull, 8864190394857762493ull}},
{{5428773435471932570ull, 12466473225007833910ull,
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{{16009338831194691520ull, 1748033475977628675ull,
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{{15399987520565976496ull, 16020099900254199556ull,
  7063559896222833298ull, 8656435932478283685ull}},
{{401620163498959502ull, 14624248456086262627ull,
  6720567944352964763ull, 5410272457798927303ull}},
{{14337083259655863090ull, 13668624551680440379ull,
  3789023912013818050ull, 6762840572248659129ull}},
{{13309668056142440958ull, 7862408652745774666ull,
  9347965908444660467ull, 8453550715310823911ull}},
{{12930228553516413503ull, 2608162398752415214ull,
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{{6939413655040741070ull, 3260202998440519018ull,
  15950009650523743310ull, 6604336496336581180ull}},
{{17897639105655702146ull, 13298625784905424580ull,
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{{1962652404180038033ull, 1394112087924808507ull,
  10155102030257980509ull, 5159637887762954047ull}},
{{16288373560507211254ull, 6354326128333398537ull,
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{{6525408895351850355ull, 7942907660416748172ull,
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{{13301752596449682280ull, 16493532333828937367ull,
  1126065353796600898ull, 5038708874768509812ull}},
{{12015504727134714946ull, 11393543380431395901ull,
  1407581692245751123ull, 6298386093460637265ull}},
{{1184322853636229970ull, 9630243207111856973ull,
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{{3046044792736337684ull, 6018902004444910608ull,
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{{3807555990920422104ull, 12135313523983526164ull,
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{{4759444988650527630ull, 10557455886552019801ull,
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{{14503868163975049529ull, 6598409929095012375ull,
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{{13518149186541424007ull, 3636326392941377565ull,
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{{3062628427894616297ull, 9157094009604109861ull,
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{{4219985776647829138ull, 1111497737575180759ull,
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{{663296202382398518ull, 10612744208823751757ull, 506923315095047243ull,
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{{5440806271405386052ull, 8654244242602301792ull,
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{{6801007839256732564ull, 1594433266398101432ull,
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{{4250629899535457853ull, 14831578846780977107ull,
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{{701601355991934412ull, 4704415503194057672ull,
  18380999805221120066ull, 7160435977153426011ull}},
{{877001694989918015ull, 15103891415847347898ull,
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{{5159812077796086663ull, 14051618153331980340ull,
  16089538354739270515ull, 5594090607151114071ull}},
{{6449765097245108329ull, 12952836673237587521ull,
  15500236924996700240ull, 6992613258938892589ull}},
{{12673892389983773315ull, 16191045841546984401ull,
  5540238100963711588ull, 8740766573673615737ull}},
{{1003653716098776466ull, 896031614112089443ull,
  14991863859170789503ull, 5462979108546009835ull}},
{{15089625200405634295ull, 14955097572922275515ull,
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{{5751969192495874991ull, 56594575423867486ull, 1209494452396809966ull,
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{{17430038800592085582ull, 13870429664922080890ull,
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{{11627292217379390940ull, 11043140681553848920ull,
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{{14534115271724238675ull, 4580553815087535342ull,
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{{8944272052800522536ull, 5725692268859419178ull,
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{{10201856051427714489ull, 8190243686464524890ull,
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{{3528948027429867303ull, 5626118589653268209ull,
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{{9022871052714722033ull, 2420962218639197357ull,
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{{7945137417160395223ull, 3818944395863192300ull,
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{{9931421771450494029ull, 161994476401602471ull,
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{{7802591195885729632ull, 14037551150784166801ull,
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{{16405834543497050780ull, 6467626460026410298ull,
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{{18133802240218148022ull, 3419660122464108020ull,
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{{4220508726563133411ull, 4274575153080135026ull,
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{{7249503972529346286ull, 9589138498316166247ull,
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{{13082445384095824672ull, 625933448536373865ull,
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{{3147498343547021409ull, 978021013338084165ull,
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{{4273029473930582333ull, 2917106142549996555ull,
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{{729600823985840012ull, 12869754715042271502ull,
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{{10135373066837075823ull, 11475507375375451473ull,
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{{17863823212841642149ull, 9478035118823351122ull,
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{{13106406979197276879ull, 2624171861674413095ull,
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{{11771322705569208194ull, 7891900845520404273ull,
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{{14384492634456755294ull, 8471390544776509790ull,
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{{8757243756216168309ull, 1365866144115861430ull,
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{{861591329207717289ull, 12382881386140883154ull,
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{{7464873097412350573ull, 10864423956328759532ull,
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{{9331091371765438216ull, 4357157908556173607ull,
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{{15936826418743100927ull, 5709872625273204582ull,
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{{8357547645761015899ull, 7881890494832057802ull,
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{{13061584017392591737ull, 4814854924842314007ull,
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{{11715294003313351767ull, 15241940692907668317ull,
  16986393701222189212ull, 7150402596065686775ull}},
{{809059448859525996ull, 605681792425033781ull, 16621306108100348612ull,
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{{2811505164750897700ull, 9601923157120421921ull,
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{{8126067474366010029ull, 2779031909545751593ull,
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{{14769270361384900440ull, 8085475905359577395ull,
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{{10820235885393545036ull, 6598935871145009452ull,
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{{6075442629438331361ull, 12942909470400909955ull,
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{{2982617268370526297ull, 16178636838001137444ull,
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{{11087507829586354744ull, 10111648023750710902ull,
  13632507727751666767ull, 5080666622394635663ull}},
{{4636012750128167622ull, 8027874011261000724ull,
  12428948641262195555ull, 6350833277993294579ull}},
{{5795015937660209527ull, 5423156495648863001ull,
  10924499783150356540ull, 7938541597491618224ull}},
{{15151100007106100715ull, 12612844846635315183ull,
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{{14327188990455237989ull, 1930998003011980267ull,
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{{13297300219641659582ull, 16248805559047139046ull,
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{{3699126618848649335ull, 14767189492831849808ull,
  614947612990784662ull, 4845301268000255264ull}}
};

static const UINT256 multipliers2_binary80[] =
  { {{6207925045053820451ull, 7278732838564269635ull,
      11692571226397904350ull, 2627592000557903659ull}},
{{3148220287889887660ull, 18321788085060112852ull,
  10004028014569992533ull, 3284490000697379574ull}},
{{3935275359862359575ull, 9067177051042977353ull,
  3281662981357714859ull, 4105612500871724468ull}},
{{13988762145982444495ull, 3361142647688166893ull,
  11274411400203347595ull, 2566007813044827792ull}},
{{3650894627195891906ull, 18036486364892372329ull,
  14093014250254184493ull, 3207509766306034740ull}},
{{9175304302422252786ull, 8710549900833301699ull,
  17616267812817730617ull, 4009387207882543425ull}},
{{3428722179800214040ull, 16973308734089283322ull,
  4092638355369999779ull, 2505867004926589641ull}},
{{13509274761605043357ull, 16604949899184216248ull,
  9727483962639887628ull, 3132333756158237051ull}},
{{16886593452006304197ull, 2309443300270718694ull,
  7547668934872471632ull, 3915417195197796314ull}},
{{5942434889076552219ull, 1443402062669199184ull,
  9328979102722682674ull, 2447135746998622696ull}},
{{7428043611345690274ull, 11027624615191274788ull,
  11661223878403353342ull, 3058919683748278370ull}},
{{9285054514182112842ull, 4561158732134317677ull,
  5353157811149415870ull, 3823649604685347963ull}},
{{8109002080577514479ull, 16685782262866112260ull,
  1039880622754690966ull, 2389781002928342477ull}},
{{10136252600721893098ull, 11633855791727864517ull,
  5911536796870751612ull, 2987226253660428096ull}},
{{17282001769329754276ull, 14542319739659830646ull,
  7389420996088439515ull, 3734032817075535120ull}},
{{6189565087403708519ull, 6783106828073700202ull,
  4618388122555274697ull, 2333770510672209450ull}},
{{16960328396109411457ull, 13090569553519513156ull,
  14996357190048869179ull, 2917213138340261812ull}},
{{2753666421427212705ull, 11751525923472003542ull,
  298702413851534858ull, 3646516422925327266ull}},
{{12665455063638791689ull, 5466035367485228619ull,
  9596750054169194381ull, 4558145528656659082ull}},
{{5610066405560550854ull, 5722115113891961839ull,
  10609654802283134392ull, 2848840955410411926ull}},
{{2400896988523300663ull, 7152643892364952299ull,
  4038696465999142182ull, 3561051194263014908ull}},
{{16836179290936289540ull, 18164176902310966181ull,
  5048370582498927727ull, 4451313992828768635ull}},
{{12828455066048874915ull, 18270139591585435719ull,
  849388604848135877ull, 2782071245517980397ull}},
{{11423882814133705740ull, 9002616434199630937ull,
  5673421774487557751ull, 3477589056897475496ull}},
{{444795462384968462ull, 6641584524322150768ull, 7091777218109447189ull,
  4346986321121844370ull}},
{{277997163990605289ull, 6456833336915038182ull, 9044046779745792397ull,
  2716866450701152731ull}},
{{9570868491843032419ull, 12682727689571185631ull,
  6693372456254852592ull, 3396083063376440914ull}},
{{7351899596376402620ull, 15853409611963982039ull,
  17590087607173341548ull, 4245103829220551142ull}},
{{11512466275376333494ull, 685008970622712966ull,
  6382118736055950564ull, 2653189893262844464ull}},
{{5167210807365641059ull, 856261213278391208ull, 7977648420069938205ull,
  3316487366578555580ull}},
{{6459013509207051324ull, 5682012535025376914ull,
  9972060525087422756ull, 4145609208223194475ull}},
{{8648569461681794981ull, 12774629871245636379ull,
  3926694818965945270ull, 2591005755139496547ull}},
{{6199025808674855823ull, 6744915302202269666ull, 296682505280043684ull,
  3238757193924370684ull}},
{{16972154297698345586ull, 8431144127752837082ull,
  370853131600054605ull, 4048446492405463355ull}},
{{15219282454488853896ull, 7575308089059217128ull,
  16372684271745891792ull, 2530279057753414596ull}},
{{577358994401515753ull, 9469135111324021411ull, 2019111265972813124ull,
  3162848822191768246ull}},
{{14556756798284058404ull, 11836418889155026763ull,
  11747261119320792213ull, 3953561027739710307ull}},
{{6792129989713842550ull, 9703604814935585679ull,
  5036195190361801181ull, 2470975642337318942ull}},
{{3878476468714915284ull, 16741192037096870003ull,
  15518616024807027284ull, 3088719552921648677ull}},
{{236409567466256201ull, 2479745972661535888ull, 5563211975726620394ull,
  3860899441152060847ull}},
{{147755979666410126ull, 6161527251340847834ull,
  10394536512470219602ull, 2413062150720038029ull}},
{{9408067011437788465ull, 16925281101030835600ull,
  17604856659015162406ull, 3016327688400047536ull}},
{{11760083764297235581ull, 11933229339433768692ull,
  3559326750059401392ull, 3770409610500059421ull}},
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};

#endif // matches #if __ENABLE_BINARY80__

// **********************************************************************

static const UINT128 breakpoints_binary128[] =
  { {{2195700805160846264ull, 1755099732929698ull}},
{{9135258273612497656ull, 1404079786343758ull}},
{{10927064423038085928ull, 2246527658150013ull}},
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{{12896279334331431512ull, 1437777701216008ull}},
{{17695721096948965856ull, 1150222160972806ull}},
{{2487712051924973104ull, 1840355457556491ull}},
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{{17009664494959460928ull, 1884523988537846ull}},
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{{556008595496706088ull, 1206095352664222ull}},
{{4578962567536640064ull, 1929752564262755ull}},
{{3663170054029312052ull, 1543802051410204ull}},
{{6619884857965359964ull, 1235041641128163ull}},
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{{1832624751660222172ull, 1580853300644049ull}},
{{5155448616070088060ull, 1264682640515239ull}},
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{{5123234702672948588ull, 1618793779859506ull}},
{{409238947396448548ull, 1295035023887605ull}},
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{{2799759068554033100ull, 1622753673453667ull}},
{{13307853699068957448ull, 1298202938762933ull}},
{{17603217103768421596ull, 2077124702020693ull}},
{{3014527238789006308ull, 1661699761616555ull}},
{{2411621791031205044ull, 1329359809293244ull}},
{{11237292495133748720ull, 2126975694869190ull}},
{{8989833996106998976ull, 1701580555895352ull}},
{{18259913641111330152ull, 1361264444716281ull}},
{{3390420122584755980ull, 2178023111546051ull}},
{{17469731357035446076ull, 1742418489236840ull}},
{{13975785085628356860ull, 1393934791389472ull}},
{{7603860878037729684ull, 2230295666223156ull}},
{{2393739887688273424ull, 1784236532978525ull}},
{{1914991910150618740ull, 1427389226382820ull}},
{{1531993528120494992ull, 1141911381106256ull}},
{{13519236089218522956ull, 1827058209770009ull}},
{{14504737686116728688ull, 1461646567816007ull}},
{{4225092519409562304ull, 1169317254252806ull}},
{{17828194475281030656ull, 1870907606804489ull}},
{{17951904394966734848ull, 1496726085443591ull}},
{{10672174701231477556ull, 1197380868354873ull}},
{{13386130707228453764ull, 1915809389367797ull}},
{{3330206936298942364ull, 1532647511494238ull}},
{{10042863178522974540ull, 1226118009195390ull}},
{{16068581085636759264ull, 1961788814712624ull}},
{{16544213683251317732ull, 1569431051770099ull}},
{{16924719761342964508ull, 1255544841416079ull}},
{{16011505173923012248ull, 2008871746265727ull}},
{{5430506509654589152ull, 1607097397012582ull}},
{{15412451651949402288ull, 1285677917610065ull}},
{{6213178569409492048ull, 2057084668176105ull}},
{{4970542855527593640ull, 1645667734540884ull}},
{{7665783099163985232ull, 1316534187632707ull}},
{{15954601773404286696ull, 2106454700212331ull}},
{{9074332603981519036ull, 1685163760169865ull}},
{{7259466083185215228ull, 1348131008135892ull}},
{{15304494547838254688ull, 2157009613017427ull}},
{{4864898008786783104ull, 1725607690413942ull}},
{{14959964851255157452ull, 1380486152331153ull}},
{{1799850873556789984ull, 2208777843729846ull}},
{{16197275957813073280ull, 1767022274983876ull}},
{{9268471951508548300ull, 1413617819987101ull}},
{{3725428746464928316ull, 1130894255989681ull}},
{{17028732438569616280ull, 1809430809583489ull}},
{{17312334765597603344ull, 1447544647666791ull}},
{{10160518997736172352ull, 1158035718133433ull}},
{{12567481581635965444ull, 1852857149013493ull}},
{{17432682894792593000ull, 1482285719210794ull}},
{{17635495130575984724ull, 1185828575368635ull}},
{{9770048135212023940ull, 1897325720589817ull}},
{{437340878685798508ull, 1517860576471854ull}},
{{4039221517690549128ull, 1214288461177483ull}},
{{2773405613562968284ull, 1942861537883973ull}},
{{9597422120334195272ull, 1554289230307178ull}},
{{15056635325751176864ull, 1243431384245742ull}},
{{9333221262234241692ull, 1989490214793188ull}},
{{14845274639271214000ull, 1591592171834550ull}},
{{11876219711416971200ull, 1273273737467640ull}},
{{555207464557602304ull, 2037237979948225ull}},
{{444165971646081840ull, 1629790383958580ull}},
{{355332777316865472ull, 1303832307166864ull}},
{{7947230073190805404ull, 2086131691466982ull}},
{{17425830502778375292ull, 1668905353173585ull}},
{{13940664402222700232ull, 1335124282538868ull}},
{{168970155104858436ull, 2136198852062190ull}},
{{135176124083886748ull, 1708959081649752ull}},
{{11176187343492840368ull, 1367167265319801ull}},
{{10503202120104723944ull, 2187467624511682ull}},
{{1023864066599958508ull, 1749974099609346ull}},
{{15576486512247608100ull, 1399979279687476ull}},
{{17543680790112352312ull, 2239966847499962ull}},
{{6656247002606061204ull, 1791973477999970ull}},
{{5324997602084848964ull, 1433578782399976ull}},
{{570649266925968848ull, 1146863025919981ull}},
{{11981085271307281124ull, 1834980841471969ull}},
{{13274217031787735224ull, 1467984673177575ull}},
{{10619373625430188176ull, 1174387738542060ull}},
{{16990997800688301084ull, 1879020381667296ull}},
{{9903449425808730544ull, 1503216305333837ull}},
{{544061911163163788ull, 1202573044267070ull}},
{{870499057861062064ull, 1924116870827312ull}},
{{11764445690514580620ull, 1539293496661849ull}},
{{13100905367153574820ull, 1231434797329479ull}},
{{9893402143219988740ull, 1970295675727167ull}},
{{536024085092170348ull, 1576236540581734ull}},
{{4118168082815646600ull, 1260989232465387ull}},
{{10278417747246944884ull, 2017582771944619ull}},
{{11912083012539466232ull, 1614066217555695ull}},
{{9529666410031572984ull, 1291252974044556ull}},
{{7868768626566696128ull, 2066004758471290ull}},
{{6295014901253356904ull, 1652803806777032ull}},
{{16104058365228416492ull, 1322243045421625ull}},
{{7319749310655914772ull, 2115588872674601ull}},
{{2166450633782821492ull, 1692471098139681ull}},
{{16490555765993898488ull, 1353976878511744ull}},
{{15316842781364506612ull, 2166363005618791ull}},
{{8564125410349694964ull, 1733090404495033ull}},
{{14229997957763576620ull, 1386472323596026ull}},
{{15389299102937901944ull, 2218355717753642ull}},
{{4932741652866500908ull, 1774684574202914ull}},
{{7635542137035111048ull, 1419747659362331ull}},
{{2419084894886178516ull, 1135798127489865ull}},
{{3870535831817885628ull, 1817277003983784ull}},
{{6785777480196218824ull, 1453821603187027ull}},
{{16496668428382706028ull, 1163057282549621ull}},
{{569227782218957384ull, 1860891652079395ull}},
{{455382225775165908ull, 1488713321663516ull}},
{{15121701039587774020ull, 1190970657330812ull}},
{{9437326404372797136ull, 1905553051729300ull}},
{{7549861123498237708ull, 1524442441383440ull}},
{{6039888898798590168ull, 1219553953106752ull}},
{{13353171052819654592ull, 1951286324970803ull}},
{{18061234471739544320ull, 1561029059976642ull}},
{{7070289947907814808ull, 1248823247981314ull}},
{{244417472426772728ull, 1998117196770103ull}},
{{7574231607425238828ull, 1598493757416082ull}},
{{17127431730165922032ull, 1278795005932865ull}},
{{8957146694555923636ull, 2046072009492585ull}},
{{7165717355644738908ull, 1636857607594068ull}},
{{13111271513999611772ull, 1309486086075254ull}},
{{9909987978173647868ull, 2095177737720407ull}},
{{549292753055097648ull, 1676142190176326ull}},
{{15196829461411719408ull, 1340913752141060ull}},
{{5868183064549199440ull, 2145462003425697ull}},
{{15762592895865090520ull, 1716369602740557ull}},
{{5231376687208251772ull, 1373095682192446ull}},
{{991505070049382188ull, 2196953091507914ull}},
{{4482552870781416072ull, 1757562473206331ull}},
{{18343437555592774152ull, 1406049978565064ull}},
{{18281453644722707672ull, 2249679965704103ull}},
{{3557116471552435168ull, 1799743972563283ull}},
{{10224390806725768780ull, 1439795178050626ull}},
{{4490163830638704700ull, 1151836142440501ull}},
{{18252308573247658492ull, 1842937827904801ull}},
{{10912498043856216468ull, 1474350262323841ull}},
{{5040649620343062852ull, 1179480209859073ull}},
{{4375690577806990240ull, 1887168335774517ull}},
{{14568598906471323164ull, 1509734668619613ull}},
{{586832680951327560ull, 1207787734895691ull}},
{{12006978733747855068ull, 1932460375833105ull}},
{{9605582986998284052ull, 1545968300666484ull}},
{{11373815204340537564ull, 1236774640533187ull}},
{{3440709067977218812ull, 1978839424853100ull}},
{{2752567254381775048ull, 1583071539882480ull}},
{{2202053803505420040ull, 1266457231905984ull}},
{{10901983715092492712ull, 2026331571049574ull}},
{{12410935786815904492ull, 1621065256839659ull}},
{{13618097444194633916ull, 1296852205471727ull}},
{{7031560651743772972ull, 2074963528754764ull}},
{{9314597336136928700ull, 1659970823003811ull}},
{{3762329054167632636ull, 1327976658403049ull}},
{{13398424116152032868ull, 2124762653444878ull}},
{{18097436922405446940ull, 1699810122755902ull}},
{{7099251908440536904ull, 1359848098204722ull}},
{{15048151868246769372ull, 2175756957127555ull}},
{{12038521494597415500ull, 1740605565702044ull}},
{{13320166010419842720ull, 1392484452561635ull}},
{{2865521542962196740ull, 2227975124098617ull}},
{{13360463678595488360ull, 1782380099278893ull}},
{{18067068572360211336ull, 1425904079423114ull}},
{{18143003672630079392ull, 1140723263538491ull}},
{{3203364173014754764ull, 1825157221661587ull}},
{{13630737782637534780ull, 1460125777329269ull}},
{{14593939040851938148ull, 1168100621863415ull}},
{{4903558391653549420ull, 1868960994981465ull}},
{{3922846713322839536ull, 1495168795985172ull}},
{{14206323814884002596ull, 1196135036788137ull}},
{{7972722844846762864ull, 1913816058861020ull}},
{{6378178275877410292ull, 1531052847088816ull}},
{{1413193805960017908ull, 1224842277671053ull}},
{{17018505348503669948ull, 1959747644273684ull}},
{{17304153093544846284ull, 1567798115418947ull}},
{{6464624845352056380ull, 1254238492335158ull}},
{{6654050937821379884ull, 2006781587736253ull}},
{{12701938379740924552ull, 1605425270189002ull}},
{{2782853074308918996ull, 1284340216151202ull}},
{{8141913733636180720ull, 2054944345841923ull}},
{{13892228616392765220ull, 1643955476673538ull}},
{{45736448888481208ull, 1315164381338831ull}},
{{11141224762447300900ull, 2104263010142129ull}},
{{12602328624699751044ull, 1683410408113703ull}},
{{17460560529243621480ull, 1346728326490962ull}},
{{13179501587822153080ull, 2154765322385540ull}},
{{10543601270257722464ull, 1723812257908432ull}},
{{1056183386722357324ull, 1379049806326746ull}},
{{12757939862981502688ull, 2206479690122793ull}},
{{17585049519869022796ull, 1765183752098234ull}},
{{17757388430637128560ull, 1412147001678587ull}},
{{6827213115025882200ull, 1129717601342870ull}},
{{10923540984041411524ull, 1807548162148592ull}},
{{1360135157749308572ull, 1446038529718874ull}},
{{4777456940941357180ull, 1156830823775099ull}},
{{15022628734989992136ull, 1850929318040158ull}},
{{950056543766262740ull, 1480743454432127ull}},
{{11828091679238741160ull, 1184594763545701ull}},
{{11546249057298165212ull, 1895351621673122ull}},
{{1858301616354711520ull, 1516281297338498ull}},
{{8865338922567589864ull, 1213025037870798ull}},
{{10495193461366233460ull, 1940840060593277ull}},
{{1017457139609166120ull, 1552672048474622ull}},
{{11882012155913063864ull, 1242137638779697ull}},
{{4253824190493260892ull, 1987420222047516ull}},
{{18160454611362250008ull, 1589936177638012ull}},
{{7149666059605979360ull, 1271948942110410ull}},
{{11439465695369566976ull, 2035118307376656ull}},
{{5462223741553743256ull, 1628094645901325ull}},
{{4369778993242994604ull, 1302475716721060ull}},
{{6991646389188791368ull, 2083961146753696ull}},
{{1903968296609122772ull, 1667168917402957ull}},
{{12591221081513029188ull, 1333735133922365ull}},
{{1699209656711295084ull, 2133976214275785ull}},
{{1359367725369036068ull, 1707180971420628ull}},
{{8466191809779049500ull, 1365744777136502ull}},
{{17235255710388389524ull, 2185191643418403ull}},
{{2720158124084980648ull, 1748153314734723ull}},
{{9554824128751805164ull, 1398522651787778ull}},
{{11598369791260977940ull, 2237636242860445ull}},
{{9278695833008782352ull, 1790108994288356ull}},
{{3733607851665115560ull, 1432087195430685ull}},
{{2986886281332092448ull, 1145669756344548ull}},
{{1089669235389437592ull, 1833071610151277ull}},
{{11939781832537281044ull, 1466457288121021ull}},
{{5862476651287914512ull, 1173165830496817ull}},
{{13069311456802573544ull, 1877065328794907ull}},
{{3076751535958238188ull, 1501652263035926ull}},
{{17218796487734231840ull, 1201321810428740ull}},
{{9103330306665219332ull, 1922114896685985ull}},
{{7282664245332175464ull, 1537691917348788ull}},
{{13204829025749561020ull, 1230153533879030ull}},
{{2680982367489746016ull, 1968245654206449ull}},
{{5834134708733707136ull, 1574596523365159ull}},
{{8356656581728876032ull, 1259677218692127ull}},
{{17059999345508111972ull, 2015483549907403ull}},
{{2579953032180758608ull, 1612386839925923ull}},
{{9442660055228427532ull, 1289909471940738ull}},
{{11418907273623573732ull, 2063855155105181ull}},
{{5445777004156948660ull, 1651084124084145ull}},
{{4356621603325558928ull, 1320867299267316ull}},
{{18038641009546625256ull, 2113387678827705ull}},
{{14430912807637300204ull, 1690710143062164ull}},
{{15234079060851750488ull, 1352568114449731ull}},
{{16995828867878980132ull, 2164108983119570ull}},
{{13596663094303184104ull, 1731287186495656ull}},
{{7187981660700636960ull, 1385029749196525ull}},
{{11500770657121019140ull, 2216047598714440ull}},
{{9200616525696815312ull, 1772838078971552ull}},
{{18428539664783183216ull, 1418270463177241ull}},
{{11053482917084636252ull, 1134616370541793ull}},
{{13996223852593507680ull, 1815386192866869ull}},
{{14886327896816716464ull, 1452308954293495ull}},
{{11909062317453373172ull, 1161847163434796ull}},
{{11675802078441576432ull, 1858955461495674ull}},
{{13029990477495171468ull, 1487164369196539ull}},
{{14113341196738047496ull, 1189731495357231ull}},
{{15202648285297055348ull, 1903570392571570ull}},
{{12162118628237644280ull, 1522856314057256ull}},
{{6040346087848205100ull, 1218285051245805ull}},
{{9664553740557128160ull, 1949256081993288ull}},
{{15110340621929523176ull, 1559404865594630ull}},
{{12088272497543618540ull, 1247523892475704ull}},
{{8273189551844058696ull, 1996038227961127ull}},
{{17686598085700977924ull, 1596830582368901ull}},
{{10459929653818872016ull, 1277464465895121ull}},
{{9357189816626374580ull, 2043943145432194ull}},
{{11175100668043009988ull, 1635154516345755ull}},
{{8940080534434407988ull, 1308123613076604ull}},
{{3236082410869321816ull, 2092997780922567ull}},
{{13656912372921188420ull, 1674398224738053ull}},
{{18304227527820771384ull, 1339518579790442ull}},
{{14529368785545592920ull, 2143229727664708ull}}
};

static const int exponents_binary128[] = { -115,
  -112,
  -108,
  -105,
  -102,
  -99,
  -95,
  -92,
  -89,
  -85,
  -82,
  -79,
  -75,
  -72,
  -69,
  -65,
  -62,
  -59,
  -55,
  -52,
  -49,
  -45,
  -42,
  -39,
  -35,
  -32,
  -29,
  -25,
  -22,
  -19,
  -15,
  -12,
  -9,
  -6,
  -2,
  1,
  4,
  8,
  11,
  14,
  18,
  21,
  24,
  28,
  31,
  34,
  38,
  41,
  44,
  48,
  51,
  54,
  58,
  61,
  64,
  68,
  71,
  74,
  78,
  81,
  84,
  87,
  91,
  94,
  97,
  101,
  104,
  107,
  111,
  114,
  117,
  121,
  124,
  127,
  131,
  134,
  137,
  141,
  144,
  147,
  151,
  154,
  157,
  161,
  164,
  167,
  171,
  174,
  177,
  181,
  184,
  187,
  190,
  194,
  197,
  200,
  204,
  207,
  210,
  214,
  217,
  220,
  224,
  227,
  230,
  234,
  237,
  240,
  244,
  247,
  250,
  254,
  257,
  260,
  264,
  267,
  270,
  274,
  277,
  280,
  283,
  287,
  290,
  293,
  297,
  300,
  303,
  307,
  310,
  313,
  317,
  320,
  323,
  327,
  330,
  333,
  337,
  340,
  343,
  347,
  350,
  353,
  357,
  360,
  363,
  367,
  370,
  373,
  377,
  380,
  383,
  386,
  390,
  393,
  396,
  400,
  403,
  406,
  410,
  413,
  416,
  420,
  423,
  426,
  430,
  433,
  436,
  440,
  443,
  446,
  450,
  453,
  456,
  460,
  463,
  466,
  470,
  473,
  476,
  479,
  483,
  486,
  489,
  493,
  496,
  499,
  503,
  506,
  509,
  513,
  516,
  519,
  523,
  526,
  529,
  533,
  536,
  539,
  543,
  546,
  549,
  553,
  556,
  559,
  563,
  566,
  569,
  572,
  576,
  579,
  582,
  586,
  589,
  592,
  596,
  599,
  602,
  606,
  609,
  612,
  616,
  619,
  622,
  626,
  629,
  632,
  636,
  639,
  642,
  646,
  649,
  652,
  656,
  659,
  662,
  666,
  669,
  672,
  675,
  679,
  682,
  685,
  689,
  692,
  695,
  699,
  702,
  705,
  709,
  712,
  715,
  719,
  722,
  725,
  729,
  732,
  735,
  739,
  742,
  745,
  749,
  752,
  755,
  759,
  762,
  765,
  768,
  772,
  775,
  778,
  782,
  785,
  788,
  792,
  795,
  798,
  802,
  805,
  808,
  812,
  815,
  818,
  822,
  825,
  828,
  832,
  835,
  838,
  842,
  845,
  848,
  852,
  855,
  858,
  862,
  865,
  868,
  871,
  875,
  878,
  881,
  885,
  888,
  891,
  895,
  898,
  901,
  905,
  908,
  911,
  915,
  918,
  921,
  925,
  928,
  931,
  935,
  938,
  941,
  945,
  948,
  951,
  955,
  958,
  961,
  964,
  968,
  971,
  974,
  978,
  981,
  984,
  988,
  991,
  994,
  998,
  1001,
  1004,
  1008,
  1011,
  1014,
  1018,
  1021,
  1024,
  1028,
  1031,
  1034,
  1038,
  1041,
  1044,
  1048,
  1051,
  1054,
  1058,
  1061,
  1064,
  1067,
  1071,
  1074,
  1077,
  1081,
  1084,
  1087,
  1091,
  1094,
  1097,
  1101,
  1104,
  1107,
  1111,
  1114,
  1117,
  1121,
  1124,
  1127,
  1131,
  1134,
  1137,
  1141,
  1144,
  1147,
  1151,
  1154,
  1157,
  1160,
  1164,
  1167,
  1170,
  1174,
  1177,
  1180,
  1184,
  1187,
  1190,
  1194,
  1197,
  1200,
  1204,
  1207,
  1210,
  1214,
  1217,
  1220,
  1224,
  1227,
  1230,
  1234,
  1237,
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  32612,
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  32642,
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  32812,
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  32828,
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  32835,
  32838,
  32842,
  32845,
  32848,
  32852,
  32855,
  32858,
  32862,
  32865,
  32868,
  32872,
  32875,
  32878,
  32882,
};

static const UINT256 multipliers1_binary128[] =
  { {{15420861665977618167ull, 8795339322986628986ull,
      11692172791063221495ull, 5916811177297135519ull}},
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{{742053740673427612ull, 17552069252360579559ull,
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{{9226640769452467642ull, 14289014855710126268ull,
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{{1895501995592400110ull, 11389807188350828606ull,
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{{15019746802527413781ull, 14036158520360349734ull,
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{{9551311466304491418ull, 12933512132023049264ull,
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{{4273029473930582333ull, 2917106142549996555ull,
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{{729600823985840012ull, 12869754715042271502ull,
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{{10135373066837075823ull, 11475507375375451473ull,
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{{17863823212841642149ull, 9478035118823351122ull,
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{{13106406979197276879ull, 2624171861674413095ull,
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{{11771322705569208194ull, 7891900845520404273ull,
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{{439547663339673266ull, 14155810065305028479ull,
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{{8757243756216168309ull, 1365866144115861430ull,
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{{861591329207717289ull, 12382881386140883154ull,
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{{8357547645761015899ull, 7881890494832057802ull,
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{{13061584017392591737ull, 4814854924842314007ull,
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{{11715294003313351767ull, 15241940692907668317ull,
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{{809059448859525996ull, 605681792425033781ull, 16621306108100348612ull,
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{{2811505164750897700ull, 9601923157120421921ull,
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{{8126067474366010029ull, 2779031909545751593ull,
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{{8549702918292575412ull, 14043676391062638287ull,
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{{6075442629438331361ull, 12942909470400909955ull,
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{{2982617268370526297ull, 16178636838001137444ull,
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{{11087507829586354744ull, 10111648023750710902ull,
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{{4636012750128167622ull, 8027874011261000724ull,
  12428948641262195555ull, 6350833277993294579ull}},
{{5795015937660209527ull, 5423156495648863001ull,
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{{15151100007106100715ull, 12612844846635315183ull,
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{{14327188990455237989ull, 1930998003011980267ull,
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{{13297300219641659582ull, 16248805559047139046ull,
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{{3699126618848649335ull, 14767189492831849808ull,
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};

static const UINT256 multipliers2_binary128[] =
  { {{7710430832988809084ull, 13621041698348090301ull,
      15069458432386386555ull, 2958405588648567759ull}},
{{14249724559663399259ull, 12414616104507724972ull,
  14225137022055595290ull, 3698006985810709699ull}},
{{18129449886644400345ull, 12370821083744716011ull,
  6584867629571053104ull, 2311254366131693562ull}},
{{18050126339878112527ull, 15463526354680895014ull,
  17454456573818592188ull, 2889067957664616952ull}},
{{13339285887992864851ull, 882663869641567152ull,
  3371326643563688620ull, 3611334947080771191ull}},
{{16674107359991081063ull, 1103329837051958940ull,
  18049216359736774487ull, 4514168683850963988ull}},
{{1197945063139649857ull, 7607110175798556194ull,
  2057388187980708246ull, 2821355427406852493ull}},
{{10720803365779338129ull, 285515682893419434ull,
  7183421253403273212ull, 3526694284258565616ull}},
{{4177632170369396853ull, 356894603616774293ull, 8979276566754091515ull,
  4408367855323207020ull}},
{{4916863115694566985ull, 16363960191756341597ull,
  14835419891076083004ull, 2755229909577004387ull}},
{{10757764913045596635ull, 2008206165985875380ull,
  13932588845417715852ull, 3444037386971255484ull}},
{{13447206141306995794ull, 2510257707482344225ull,
  17415736056772144815ull, 4305046733714069355ull}},
{{1486974810675790516ull, 8486440094817546997ull,
  8578992026268896557ull, 2690654208571293347ull}},
{{6470404531772126048ull, 15219736136949321650ull,
  6112054014408732792ull, 3363317760714116684ull}},
{{17311377701569933368ull, 577926097477100446ull,
  7640067518010915991ull, 4204147200892645855ull}},
{{6207925045053820451ull, 7278732838564269635ull,
  11692571226397904350ull, 2627592000557903659ull}},
{{3148220287889887660ull, 18321788085060112852ull,
  10004028014569992533ull, 3284490000697379574ull}},
{{3935275359862359575ull, 9067177051042977353ull,
  3281662981357714859ull, 4105612500871724468ull}},
{{13988762145982444495ull, 3361142647688166893ull,
  11274411400203347595ull, 2566007813044827792ull}},
{{3650894627195891906ull, 18036486364892372329ull,
  14093014250254184493ull, 3207509766306034740ull}},
{{9175304302422252786ull, 8710549900833301699ull,
  17616267812817730617ull, 4009387207882543425ull}},
{{3428722179800214040ull, 16973308734089283322ull,
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{{13509274761605043357ull, 16604949899184216248ull,
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{{16886593452006304197ull, 2309443300270718694ull,
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{{5942434889076552219ull, 1443402062669199184ull,
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{{7428043611345690274ull, 11027624615191274788ull,
  11661223878403353342ull, 3058919683748278370ull}},
{{9285054514182112842ull, 4561158732134317677ull,
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{{8109002080577514479ull, 16685782262866112260ull,
  1039880622754690966ull, 2389781002928342477ull}},
{{10136252600721893098ull, 11633855791727864517ull,
  5911536796870751612ull, 2987226253660428096ull}},
{{17282001769329754276ull, 14542319739659830646ull,
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{{6189565087403708519ull, 6783106828073700202ull,
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{{16960328396109411457ull, 13090569553519513156ull,
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{{2753666421427212705ull, 11751525923472003542ull,
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{{12665455063638791689ull, 5466035367485228619ull,
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{{5610066405560550854ull, 5722115113891961839ull,
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{{2400896988523300663ull, 7152643892364952299ull,
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{{16836179290936289540ull, 18164176902310966181ull,
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{{12828455066048874915ull, 18270139591585435719ull,
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{{11423882814133705740ull, 9002616434199630937ull,
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{{277997163990605289ull, 6456833336915038182ull, 9044046779745792397ull,
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{{9570868491843032419ull, 12682727689571185631ull,
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{{7351899596376402620ull, 15853409611963982039ull,
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{{11512466275376333494ull, 685008970622712966ull,
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{{5167210807365641059ull, 856261213278391208ull, 7977648420069938205ull,
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{{8648569461681794981ull, 12774629871245636379ull,
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{{6792129989713842550ull, 9703604814935585679ull,
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{{3878476468714915284ull, 16741192037096870003ull,
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{{236409567466256201ull, 2479745972661535888ull, 5563211975726620394ull,
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{{147755979666410126ull, 6161527251340847834ull,
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{{11760083764297235581ull, 11933229339433768692ull,
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{{2270036413216133442ull, 99463384577855983ull, 14886399821855800586ull,
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{{16672603571802330514ull, 9347701267577095786ull,
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{{11617382427898137335ull, 11684626584471369733ull,
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{{9566707026650029786ull, 14220420642935687939ull,
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{{7346697764885149329ull, 13163839785242222020ull,
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{{9183372206106436661ull, 7231427694698001717ull,
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{{8045450638030216865ull, 2213799299972557121ull,
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{{4500566089674285020ull, 5764904415420814454ull,
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{{16647911861328591849ull, 17438123314920172745ull,
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{{7764107029578569858ull, 9780783950435279538ull,
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{{481761750118436514ull, 3002607901189323615ull, 9381142511263826414ull,
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{{7218630121465104678ull, 15711687993525490971ull,
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{{4411601633403992943ull, 1192865918197312098ull,
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{{14737874078609766987ull, 10714454434601415930ull,
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{{13822857317558492271ull, 11308220040053272860ull,
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{{17278571646948115338ull, 300216994784427363ull,
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{{16986528540257756269ull, 4986957261907922108ull,
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{{1393208300806321860ull, 3116848288692451318ull,
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{{10964882412862678133ull, 8507746379292952051ull,
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{{9094416997650959762ull, 15246368992543577968ull,
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{{5684010623531849852ull, 305608583484960422ull, 3163960700481024568ull,
  2379462990714463530ull}},
{{16328385316269588122ull, 382010729356200527ull,
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};

// **********************************************************************

static const UINT128 breakpoints_bid32[] = { {{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{11908810229357645280ull, 469708516554766ull}},
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{{1066227114770427523ull, 459177480789956ull}},
{{533113557385213761ull, 229588740394978ull}},
{{266556778692606880ull, 114794370197489ull}},
{{9356650426201079248ull, 57397185098744ull}},
{{9889763983586293010ull, 286985925493722ull}},
{{4944881991793146505ull, 143492962746861ull}},
{{11695813032751349060ull, 71746481373430ull}},
{{3138832942628090454ull, 358732406867153ull}},
{{10792788508168821035ull, 179366203433576ull}},
{{5396394254084410517ull, 89683101716788ull}},
{{8535227196712500972ull, 448415508583941ull}},
{{13490985635211026294ull, 224207754291970ull}},
{{6745492817605513147ull, 112103877145985ull}},
{{15280720014318014119ull, 560519385729926ull}},
{{7640360007159007059ull, 280259692864963ull}},
{{13043552040434279337ull, 140129846432481ull}},
{{15745148057071915476ull, 70064923216240ull}},
{{4938763990521370920ull, 350324616081204ull}},
{{2469381995260685460ull, 175162308040602ull}},
{{1234690997630342730ull, 87581154020301ull}},
{{6173454988151713650ull, 437905770101505ull}},
{{12310099530930632633ull, 218952885050752ull}},
{{6155049765465316316ull, 109476442525376ull}},
{{12328504753617029967ull, 547382212626881ull}},
{{15387624413663290791ull, 273691106313440ull}},
{{7693812206831645395ull, 136845553156720ull}},
{{3846906103415822697ull, 68422776578360ull}},
{{787786443369561873ull, 342113882891801ull}},
{{9617265258539556744ull, 171056941445900ull}},
{{4808632629269778372ull, 85528470722950ull}},
{{5596419072639340246ull, 427642353614751ull}},
{{12021581573174445931ull, 213821176807375ull}},
{{15234162823441998773ull, 106910588403687ull}},
{{2383837822371787403ull, 534552942018439ull}},
{{10415290948040669509ull, 267276471009219ull}},
{{14431017510875110562ull, 133638235504609ull}},
{{16438880792292331089ull, 66819117752304ull}},
{{8407427666623448983ull, 334095588761524ull}},
{{4203713833311724491ull, 167047794380762ull}},
{{2101856916655862245ull, 83523897190381ull}},
{{10509284583279311229ull, 417619485951905ull}},
{{14478014328494431422ull, 208809742975952ull}},
{{7239007164247215711ull, 104404871487976ull}},
{{17748291747526526940ull, 522024357439881ull}},
{{18097517910618039278ull, 261012178719940ull}},
{{9048758955309019639ull, 130506089359970ull}},
{{4524379477654509819ull, 65253044679985ull}},
{{4175153314562997481ull, 326265223399926ull}},
{{2087576657281498740ull, 163132611699963ull}},
{{10267160365495525178ull, 81566305849981ull}},
{{14442313680058522660ull, 407831529249907ull}},
{{16444528876884037138ull, 203915764624953ull}},
{{17445636475296794377ull, 101957882312476ull}},
{{13441206081645765421ull, 509789411562384ull}},
{{6720603040822882710ull, 254894705781192ull}},
{{3360301520411441355ull, 127447352890596ull}},
{{1680150760205720677ull, 63723676445298ull}},
{{8400753801028603388ull, 318618382226490ull}},
{{4200376900514301694ull, 159309191113245ull}},
{{11323560487111926655ull, 79654595556622ull}},
{{1277570214430978427ull, 398272977783113ull}},
{{9862157144070265021ull, 199136488891556ull}},
{{4931078572035132510ull, 99568244445778ull}},
{{6208648786466110938ull, 497841222228891ull}},
{{12327696430087831277ull, 248920611114445ull}},
{{15387220251898691446ull, 124460305557222ull}},
{{7693610125949345723ull, 62230152778611ull}},
{{1574562482327625384ull, 311150763893057ull}},
{{10010653278018588500ull, 155575381946528ull}},
{{5005326639009294250ull, 77787690973264ull}},
{{6579889121336919634ull, 388938454866321ull}},
{{12513316597523235625ull, 194469227433160ull}},
{{6256658298761617812ull, 97234613716580ull}},
{{12836547420098537447ull, 486173068582901ull}},
{{15641645746904044531ull, 243086534291450ull}},
{{7820822873452022265ull, 121543267145725ull}},
{{13133783473580786940ull, 60771633572862ull}},
{{10328685146775279856ull, 303858167864313ull}},
{{14387714610242415736ull, 151929083932156ull}},
{{7193857305121207868ull, 75964541966078ull}},
{{17522542451896487724ull, 379822709830391ull}},
{{17984643262803019670ull, 189911354915195ull}},
{{18215693668256285643ull, 94955677457597ull}},
{{17291492046443221751ull, 474778387287989ull}},
{{17869118060076386683ull, 237389193643994ull}},
{{8934559030038193341ull, 118694596821997ull}},
{{13690651551873872478ull, 59347298410998ull}},
{{13113025538240707546ull, 296736492054993ull}},
{{15779884805975129581ull, 148368246027496ull}},
{{7889942402987564790ull, 74184123013748ull}},
{{2556223867518720721ull, 370920615068742ull}},
{{1278111933759360360ull, 185460307534371ull}},
{{9862428003734455988ull, 92730153767185ull}},
{{12418651871253176710ull, 463650768835927ull}},
{{15432697972481364163ull, 231825384417963ull}},
{{16939721023095457889ull, 115912692208981ull}},
{{17693232548402504752ull, 57956346104490ull}},
{{14679186447174317299ull, 289781730522454ull}},
{{7339593223587158649ull, 144890865261227ull}},
{{12893168648648355132ull, 72445432630613ull}},
{{9125611022113120816ull, 362227163153068ull}},
{{4562805511056560408ull, 181113581576534ull}},
{{2281402755528280204ull, 90556790788267ull}},
{{11407013777641401020ull, 452783953941335ull}},
{{14926878925675476318ull, 226391976970667ull}},
{{16686811499692513967ull, 113195988485333ull}},
{{17566777786701032791ull, 56597994242666ull}},
{{14046912638666957494ull, 282989971213334ull}},
{{7023456319333478747ull, 141494985606667ull}},
{{12735100196521515181ull, 70747492803333ull}},
{{8335268761478921059ull, 353737464016668ull}},
{{4167634380739460529ull, 176868732008334ull}},
{{2083817190369730264ull, 88434366004167ull}},
{{10419085951848651324ull, 442171830020835ull}},
{{14432915012779101470ull, 221085915010417ull}},
{{16439829543244326543ull, 110542957505208ull}},
{{8412171421383426251ull, 552714787526044ull}},
{{4206085710691713125ull, 276357393763022ull}},
{{2103042855345856562ull, 138178696881511ull}},
{{10274893464527704089ull, 69089348440755ull}},
{{14480979175219417215ull, 345446742203777ull}},
{{16463861624464484415ull, 172723371101888ull}},
{{8231930812232242207ull, 86361685550944ull}},
{{4266165913742107807ull, 431808427754722ull}},
{{2133082956871053903ull, 215904213877361ull}},
{{10289913515290302759ull, 107952106938680ull}},
{{14556079429032410566ull, 539760534693402ull}},
{{7278039714516205283ull, 269880267346701ull}},
{{12862391894112878449ull, 134940133673350ull}},
{{6431195947056439224ull, 67470066836675ull}},
{{13709235661572644508ull, 337350334183376ull}},
{{6854617830786322254ull, 168675167091688ull}},
{{3427308915393161127ull, 84337583545844ull}},
{{17136544576965805635ull, 421687917729220ull}},
{{8568272288482902817ull, 210843958864610ull}},
{{4284136144241451408ull, 105421979432305ull}},
{{2973936647497705428ull, 527109897161526ull}},
{{1486968323748852714ull, 263554948580763ull}},
{{9966856198729202165ull, 131777474290381ull}},
{{14206800136219376890ull, 65888737145190ull}},
{{15693768459968229604ull, 329443685725953ull}},
{{17070256266838890610ull, 164721842862976ull}}
};

static const int exponents_bid32[] = { -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  0,
  0,
  0,
  0,
  1,
  1,
  1,
  2,
  2,
  2,
  3,
  3,
  3,
  3,
  4,
  4,
  4,
  5,
  5,
  5,
  6,
  6,
  6,
  7,
  7,
  7,
  7,
  8,
  8,
  8,
  9,
  9,
  9,
  10,
  10,
  10,
  10,
  11,
  11,
  11,
  12,
  12,
  12,
  13,
  13,
  13,
  13,
  14,
  14,
  14,
  15,
  15,
  15,
  16,
  16,
  16,
  16,
  17,
  17,
  17,
  18,
  18,
  18,
  19,
  19,
  19,
  19,
  20,
  20,
  20,
  21,
  21,
  21,
  22,
  22,
  22,
  22,
  23,
  23,
  23,
  24,
  24,
  24,
  25,
  25,
  25,
  25,
  26,
  26,
  26,
  27,
  27,
  27,
  28,
  28,
  28,
  28,
  29,
  29,
  29,
  30,
  30,
  30,
  31,
  31,
  31,
  31,
  32,
  32,
  32,
  33,
  33,
  33,
  34,
  34,
  34,
  34,
  35,
  35,
  35,
  36,
  36,
  36,
  37,
  37,
  37,
  38,
  38,
  38,
  38,
  39,
  39,
  39,
  40,
  40,
  40,
  41,
  41,
  41,
  41,
  42,
  42,
  42,
  43,
  43,
  43,
  44,
  44,
  44,
  44,
  45,
  45,
  45,
  46,
  46,
  46,
  47,
  47,
  47,
  47,
  48,
  48,
  48,
  49,
  49,
  49,
  50,
  50,
  50,
  50,
  51,
  51,
  51,
  52,
  52,
  52,
  53,
  53,
  53,
  53,
  54,
  54,
  54,
  55,
  55,
  55,
  56,
  56,
  56,
  56,
  57,
  57,
  57,
  58,
  58,
  58,
  59,
  59,
  59,
  59,
  60,
  60,
  60,
  61,
  61,
  61,
  62,
  62,
  62,
  62,
  63,
  63,
  63,
  64,
  64,
  64,
  65,
  65,
  65,
  66,
  66,
  66,
  66,
  67,
  67,
  67,
  68,
  68,
  68,
  69,
  69,
  69,
  69,
  70,
  70,
  70,
  71,
  71,
  71,
  72,
  72,
  72,
  72,
  73,
  73,
  73,
  74,
  74,
  74,
  75,
  75,
  75,
  75,
  76,
  76,
  76,
  77,
  77,
  77,
  78,
  78,
  78,
  78,
  79,
  79,
  79,
  80,
  80,
  80,
  81,
  81,
  81,
  81,
  82,
  82,
  82,
  83,
  83,
  83,
  84,
  84,
  84,
  84,
  85,
  85,
  85,
  86,
  86,
  86,
  87,
  87,
  87,
  87,
  88,
  88,
  88,
  89,
  89,
  89,
  90,
  90,
  90,
  90,
  91,
  91,
  91,
  92,
  92,
  92,
  93,
  93,
  93,
  93,
  94,
  94,
  94,
  95,
  95,
  95,
  96,
  96,
  96,
  97,
  97,
  97,
  97,
  98,
  98,
  98,
  99,
  99,
  99,
  100,
  100,
  100,
  100,
  101,
  101,
  101,
  102,
  102,
  102,
  103,
  103,
  103,
  103,
  104,
  104,
  104,
  105,
  105,
  105,
  106,
  106,
  106,
  106,
  107,
  107,
  107,
  108,
  108,
  108,
  109,
  109,
  109,
  109,
  110,
  110,
  110,
  111,
  111,
  111,
  112,
  112,
  112,
  112,
  113,
  113,
  113,
  114,
  114,
  114,
  115,
  115,
  115,
  115,
  116,
  116,
  116,
  117,
  117,
  117,
  118,
  118,
  118,
  118,
  119,
  119,
  119,
  120,
  120,
  120,
  121,
  121,
  121,
  121,
  122,
  122,
  122,
  123,
  123,
  123,
  124,
  124,
  124,
  125,
  125,
  125,
  125,
  126,
  126,
  126,
  127,
  127,
  127,
  128,
  128,
  128,
  128,
  129,
  129,
  129,
  130,
  130,
  130,
  131,
  131,
  131,
  131,
  132,
  132,
  132,
  133,
  133,
  133,
  134,
  134,
  134,
  134,
  135,
  135,
  135,
  136,
  136,
  136,
  137,
  137,
  137,
  137,
  138,
  138,
  138,
  139,
  139,
  139,
  140,
  140,
  140,
  140,
  141,
  141,
  141,
  142,
  142,
  142,
  143,
  143,
  143,
  143,
  144,
  144,
  144,
  145,
  145,
  145,
  146,
  146,
  146,
  146,
  147,
  147,
  147,
  148,
  148,
  148,
  149,
  149,
  149,
  149,
  150,
  150,
  150,
  151,
  151,
  151,
  152,
  152,
  152,
  153,
  153,
  153,
  153,
  154,
  154,
  154,
  155,
  155,
  155,
  156,
  156,
  156,
  156,
  157,
  157,
  157,
  158,
  158,
  158,
  159,
  159,
  159,
  159,
  160,
  160,
  160,
  161,
  161,
  161,
  162,
  162,
  162,
  162,
  163,
  163,
  163,
  164,
  164,
  164,
  165,
  165,
  165,
  165,
  166,
  166,
  166,
  167,
  167,
  167,
  168,
  168,
  168,
  168,
  169,
  169,
  169,
  170,
  170,
  170,
  171,
  171,
  171,
  171,
  172,
  172,
  172,
  173,
  173,
  173,
  174,
  174,
  174,
  174,
  175,
  175,
  175,
  176,
  176,
  176,
  177,
  177,
  177,
  177,
  178,
  178,
  178,
  179,
  179,
  179,
  180,
  180,
  180,
  180,
  181,
  181,
  181,
  182,
  182,
  182,
  183,
  183,
  183,
  184,
  184,
  184,
  184,
  185,
  185,
  185,
  186,
  186,
  186,
  187,
  187,
  187,
  187,
  188,
  188,
  188,
  189,
  189,
  189,
  190,
  190,
  190,
  190,
  191,
  191,
};

static const UINT256 multipliers1_bid32[] = { {{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{8022453891189237964ull, 4305922861044245892ull,
  15091728617112590342ull, 392727477223ull}},
{{16044907782378475927ull, 8611845722088491784ull,
  11736713160515629068ull, 785454954447ull}},
{{13643071491047400238ull, 17223691444176983569ull,
  5026682247321706520ull, 1570909908895ull}},
{{8839398908385248859ull, 16000638814644415523ull,
  10053364494643413041ull, 3141819817790ull}},
{{16525275040644691065ull, 6889476577670793427ull,
  2010672898928682608ull, 628363963558ull}},
{{14603806007579830513ull, 13778953155341586855ull,
  4021345797857365216ull, 1256727927116ull}},
{{10760867941450109410ull, 9111162236973622095ull,
  8042691595714730433ull, 2513455854232ull}},
{{2152173588290021882ull, 1822232447394724419ull,
  8987235948626766733ull, 502691170846ull}},
{{4304347176580043764ull, 3644464894789448838ull,
  17974471897253533466ull, 1005382341692ull}},
{{8608694353160087528ull, 7288929789578897676ull,
  17502199720797515316ull, 2010764683385ull}},
{{9100436500115838152ull, 5147134772657689858ull,
  3500439944159503063ull, 402152936677ull}},
{{18200873000231676304ull, 10294269545315379716ull,
  7000879888319006126ull, 804305873354ull}},
{{17955001926753800992ull, 2141795016921207817ull,
  14001759776638012253ull, 1608611746708ull}},
{{17463259779798050368ull, 4283590033842415635ull,
  9556775479566472890ull, 3217223493417ull}},
{{10871349585443430720ull, 8235415636252303773ull,
  9290052725397115224ull, 643444698683ull}},
{{3295955097177309824ull, 16470831272504607547ull,
  133361377084678832ull, 1286889397367ull}},
{{6591910194354619648ull, 14494918471299663478ull,
  266722754169357665ull, 2573778794734ull}},
{{8697079668354744576ull, 17656378953227573988ull,
  14810739809801512825ull, 514755758946ull}},
{{17394159336709489152ull, 16866013832745596360ull,
  11174735545893474035ull, 1029511517893ull}},
{{16341574599709426688ull, 15285283591781641105ull,
  3902727018077396455ull, 2059023035787ull}},
{{10647012549425705984ull, 10435754347840148867ull,
  8159243033099299937ull, 411804607157ull}},
{{2847281025141860352ull, 2424764621970746119ull,
  16318486066198599875ull, 823609214314ull}},
{{5694562050283720704ull, 4849529243941492238ull,
  14190228058687648134ull, 1647218428629ull}},
{{4828261224798654464ull, 12037952293014029417ull,
  17595440870705170919ull, 329443685725ull}},
{{9656522449597308928ull, 5629160512318507218ull,
  16744137667700790223ull, 658887371451ull}},
{{866300825485066240ull, 11258321024637014437ull,
  15041531261692028830ull, 1317774742903ull}},
{{1732601650970132480ull, 4069897975564477258ull,
  11636318449674506045ull, 2635549485807ull}},
{{346520330194026496ull, 8192677224596716098ull, 9705961319418721855ull,
  527109897161ull}},
{{693040660388052992ull, 16385354449193432196ull, 965178565127892094ull,
  1054219794323ull}},
{{1386081320776105984ull, 14323964824677312776ull,
  1930357130255784189ull, 2108439588646ull}},
{{3966565078897131520ull, 2864792964935462555ull,
  4075420240793067161ull, 421687917729ull}},
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  3115089669207522743ull, 980797146154ull}},
{{18273500563672568741ull, 17915554340640150629ull,
  6230179338415045486ull, 1961594292308ull}},
{{14722746556960244718ull, 18340506127095671418ull,
  12314082311908740066ull, 392318858461ull}},
{{10998749040210937820ull, 18234268180481791221ull,
  6181420550107928517ull, 784637716923ull}},
{{3550754006712324023ull, 18021792287254030827ull,
  12362841100215857035ull, 1569275433846ull}},
{{7101508013424648045ull, 17596840500798510038ull,
  6278938126722162455ull, 3138550867693ull}},
{{5109650417426839933ull, 14587414544385432977ull,
  12323834069570163460ull, 627710173538ull}},
{{10219300834853679865ull, 10728085015061314338ull,
  6200924065430775305ull, 1255420347077ull}},
{{1991857595997808113ull, 3009425956413077061ull,
  12401848130861550611ull, 2510840694154ull}},
{{4087720333941471946ull, 601885191282615412ull,
  17237764885139951415ull, 502168138830ull}},
{{8175440667882943892ull, 1203770382565230824ull,
  16028785696570351214ull, 1004336277661ull}},
{{16350881335765887783ull, 2407540765130461648ull,
  13610827319431150812ull, 2008672555323ull}},
{{14338222711378908527ull, 481508153026092329ull,
  13790211908111961132ull, 401734511064ull}},
{{10229701349048265437ull, 963016306052184659ull,
  9133679742514370648ull, 803469022129ull}},
{{2012658624386979257ull, 1926032612104369319ull,
  18267359485028741296ull, 1606938044258ull}},
{{4025317248773958514ull, 3852065224208738638ull,
  18087974896347930976ull, 3213876088517ull}},
{{4494412264496702026ull, 11838459489067478697ull,
  10996292608753406841ull, 642775217703ull}},
{{8988824528993404052ull, 5230174904425405778ull,
  3545841143797262067ull, 1285550435407ull}},
{{17977649057986808104ull, 10460349808850811556ull,
  7091682287594524134ull, 2571100870814ull}},
{{18352925070565002914ull, 13160116405995893280ull,
  16175731716486546119ull, 514220174162ull}},
{{18259106067420454212ull, 7873488738282234945ull,
  13904719359263540623ull, 1028440348325ull}},
{{18071468061131356807ull, 15746977476564469891ull,
  9362694644817529630ull, 2056880696651ull}},
{{10992991241710092008ull, 6838744310054804301ull,
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{{3539238409710632400ull, 13677488620109608603ull,
  11123775487410832498ull, 822752278660ull}},
{{7078476819421264799ull, 8908233166509665590ull,
  3800806901112113381ull, 1645504557321ull}},
{{8794392993368073607ull, 9160344262785753764ull,
  4449510194964332999ull, 329100911464ull}},
{{17588785986736147213ull, 18320688525571507528ull,
  8899020389928665998ull, 658201822928ull}},
{{16730827899762742809ull, 18194632977433463441ull,
  17798040779857331997ull, 1316403645856ull}},
{{15014911725815934001ull, 17942521881157375267ull,
  17149337486005112379ull, 2632807291713ull}},
{{17760377604130828093ull, 10967202005715295699ull,
  14497913941426753445ull, 526561458342ull}},
{{17074011134552104570ull, 3487659937721039783ull,
  10549083809143955275ull, 1053122916685ull}},
{{15701278195394657524ull, 6975319875442079567ull,
  2651423544578358934ull, 2106245833371ull}},
{{10518953268562752152ull, 1395063975088415913ull,
  4219633523657582110ull, 421249166674ull}},
{{2591162463415952687ull, 2790127950176831827ull,
  8439267047315164220ull, 842498333348ull}},
{{5182324926831905373ull, 5580255900353663654ull,
  16878534094630328440ull, 1684996666696ull}},
{{1036464985366381075ull, 4805399994812643054ull,
  7065055633667976011ull, 336999333339ull}},
{{2072929970732762150ull, 9610799989625286108ull,
  14130111267335952022ull, 673998666678ull}},
{{4145859941465524299ull, 774855905541020600ull, 9813478460962352429ull,
  1347997333357ull}},
{{8291719882931048597ull, 1549711811082041200ull,
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{{9037041606070030366ull, 7688639991700228886ull, 236042569643030648ull,
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{{18074083212140060732ull, 15377279983400457772ull,
  472085139286061296ull, 1078397866686ull}},
{{17701422350570569847ull, 12307815893091363929ull,
  944170278572122593ull, 2156795733372ull}},
{{18297679729081755263ull, 2461563178618272785ull,
  7567531685198245165ull, 431359146674ull}},
{{18148615384453958909ull, 4923126357236545571ull,
  15135063370396490330ull, 862718293348ull}},
{{17850486695198366201ull, 9846252714473091143ull,
  11823382667083429044ull, 1725436586697ull}},
{{18327492598007314533ull, 5658599357636528551ull,
  9743374162900506455ull, 345087317339ull}},
{{18208241122305077450ull, 11317198715273057103ull,
  1040004252091461294ull, 690174634679ull}},
{{17969738170900603284ull, 4187653356836562591ull,
  2080008504182922589ull, 1380349269358ull}},
{{17492732268091654952ull, 8375306713673125183ull,
  4160017008365845178ull, 2760698538716ull}},
{{10877244083102151637ull, 16432456601702266329ull,
  4521352216415079358ull, 552139707743ull}},
{{3307744092494751658ull, 14418169129694981043ull,
  9042704432830158717ull, 1104279415486ull}},
{{6615488184989503315ull, 10389594185680410470ull,
  18085408865660317435ull, 2208558830972ull}},
{{8701795266481721310ull, 9456616466619902740ull,
  10995779402615884133ull, 441711766194ull}},
{{17403590532963442619ull, 466488859530253864ull,
  3544814731522216651ull, 883423532389ull}},
{{16360436992217333622ull, 932977719060507729ull,
  7089629463044433302ull, 1766847064778ull}},
{{18029482657411108018ull, 186595543812101545ull,
  12485972336834617630ull, 353369412955ull}},
{{17612221241112664419ull, 373191087624203091ull,
  6525200599959683644ull, 706738825911ull}},
{{16777698408515777221ull, 746382175248406183ull,
  13050401199919367288ull, 1413477651822ull}},
{{15108652743322002825ull, 1492764350496812367ull,
  7654058326129182960ull, 2826955303645ull}},
{{10400428178148221212ull, 298552870099362473ull,
  1530811665225836592ull, 565391060729ull}},
{{2354112282586890807ull, 597105740198724947ull, 3061623330451673184ull,
  1130782121458ull}},
{{4708224565173781614ull, 1194211480397449894ull,
  6123246660903346368ull, 2261564242916ull}},
{{12009691357260487293ull, 14996237555047131271ull,
  4913998146922579596ull, 452312848583ull}},
{{5572638640811422969ull, 11545731036384710927ull,
  9827996293845159193ull, 904625697166ull}},
{{11145277281622845937ull, 4644717999059870238ull,
  1209248513980766771ull, 1809251394333ull}},
{{9607753085808389834ull, 15686338858779615340ull,
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{{768762097907228052ull, 12925933643849679065ull,
  4173048220334217031ull, 723700557733ull}},
{{1537524195814456104ull, 7405123213989806514ull,
  8346096440668434063ull, 1447401115466ull}},
{{3075048391628912207ull, 14810246427979613028ull,
  16692192881336868126ull, 2894802230932ull}},
{{4304358493067692765ull, 14030095729821653575ull,
  10717136205751194271ull, 578960446186ull}},
{{8608716986135385529ull, 9613447385933755534ull,
  2987528337792836927ull, 1157920892373ull}},
{{17217433972270771058ull, 780150698157959452ull,
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{{14511533238679885182ull, 3845378954373502213ull,
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{{10576322403650218747ull, 7690757908747004427ull,
  9768720299718090188ull, 926336713898ull}},
{{2705900733590885877ull, 15381515817494008855ull,
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{{7919877776201997822ull, 10455000792982622417ull,
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{{15839755552403995644ull, 2463257512255693218ull,
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{{13232767031098439671ull, 4926515024511386437ull,
  11940603664807033978ull, 1482138742237ull}},
{{8018789988487327726ull, 9853030049022772875ull,
  5434463255904516340ull, 2964277484475ull}},
{{1603757997697465546ull, 1970606009804554575ull,
  1086892651180903268ull, 592855496895ull}},
{{3207515995394931091ull, 3941212019609109150ull,
  2173785302361806536ull, 1185710993790ull}},
{{6415031990789862181ull, 7882424039218218300ull,
  4347570604723613072ull, 2371421987580ull}},
{{8661704027641793083ull, 8955182437327464306ull, 869514120944722614ull,
  474284397516ull}},
{{17323408055283586166ull, 17910364874654928612ull,
  1739028241889445228ull, 948568795032ull}},
{{16200072036857620715ull, 17373985675600305609ull,
  3478056483778890457ull, 1897137590064ull}},
{{3240014407371524143ull, 7164145949861971445ull,
  15453006555723419384ull, 379427518012ull}},
{{6480028814743048286ull, 14328291899723942890ull,
  12459269037737287152ull, 758855036025ull}},
{{12960057629486096572ull, 10209839725738334164ull,
  6471794001765022689ull, 1517710072051ull}},
{{7473371185262641527ull, 1972935377767116713ull,
  12943588003530045379ull, 3035420144102ull}},
{{16252069496020169599ull, 4083935890295333665ull,
  9967415230189829722ull, 607084028820ull}},
{{14057394918330787581ull, 8167871780590667331ull,
  1488086386670107828ull, 1214168057641ull}},
{{9668045762952023545ull, 16335743561181334663ull,
  2976172773340215656ull, 2428336115282ull}},
{{5622957967332315033ull, 14335195156461997902ull,
  7973932184151863777ull, 485667223056ull}},
{{11245915934664630065ull, 10223646239214444188ull,
  15947864368303727555ull, 971334446112ull}},
{{4045087795619708513ull, 2000548404719336761ull,
  13448984662897903495ull, 1942668892225ull}},
{{4498366373865852026ull, 400109680943867352ull, 2689796932579580699ull,
  388533778445ull}},
{{8996732747731704052ull, 800219361887734704ull, 5379593865159161398ull,
  777067556890ull}},
{{17993465495463408103ull, 1600438723775469408ull,
  10759187730318322796ull, 1554135113780ull}},
{{17540186917217264590ull, 3200877447550938817ull,
  3071631386927093976ull, 3108270227561ull}},
{{18265432642411094211ull, 8018873118994008409ull,
  4303675092127329118ull, 621654045512ull}},
{{18084121211112636806ull, 16037746237988016819ull,
  8607350184254658236ull, 1243308091024ull}},
{{17721498348515721995ull, 13628748402266482023ull,
  17214700368509316473ull, 2486616182048ull}},
{{18301694928670785692ull, 6415098495195206727ull,
  14510986517927594264ull, 497323236409ull}},
{{18156645783632019768ull, 12830196990390413455ull,
  10575228962145636912ull, 994646472819ull}},
{{17866547493554487919ull, 7213649907071275295ull,
  2703713850581722209ull, 1989292945639ull}},
{{14641355942936628554ull, 12510776425639986028ull,
  15298138029083985734ull, 397858589127ull}},
{{10835967812163705491ull, 6574808777570420441ull,
  12149531984458419853ull, 795717178255ull}},
{{3225191550617859366ull, 13149617555140840883ull,
  5852319895207288090ull, 1591434356511ull}},
{{6450383101235718732ull, 7852491036572130150ull,
  11704639790414576181ull, 3182868713022ull}},
{{12358123064472874716ull, 12638544651540156999ull,
  9719625587566735882ull, 636573742604ull}},
{{6269502055236197816ull, 6830345229370762383ull, 992507101423920149ull,
  1273147485209ull}},
{{12539004110472395632ull, 13660690458741524766ull,
  1985014202847840298ull, 2546294970418ull}},
{{9886498451578299773ull, 6421486906490215276ull,
  11465049284795299029ull, 509258994083ull}},
{{1326252829447047930ull, 12842973812980430553ull,
  4483354495881046442ull, 1018517988167ull}},
{{2652505658894095859ull, 7239203552251309490ull,
  8966708991762092885ull, 2037035976334ull}},
{{15287896390746460465ull, 16205235969417903190ull,
  16550737057320059869ull, 407407195266ull}},
{{12129048707783369314ull, 13963727865126254765ull,
  14654730040930568123ull, 814814390533ull}},
{{5811353341857187011ull, 9480711656542957915ull,
  10862716008151584631ull, 1629628781067ull}},
{{11622706683714374021ull, 514679239376364214ull,
  3278687942593617647ull, 3259257562135ull}},
{{6013890151484785128ull, 7481633477359093489ull, 655737588518723529ull,
  651851512427ull}},
{{12027780302969570255ull, 14963266954718186978ull,
  1311475177037447058ull, 1303703024854ull}},
{{5608816532229588893ull, 11479789835726822341ull,
  2622950354074894117ull, 2607406049708ull}},
{{4811112121187828102ull, 2295957967145364468ull,
  11592636515040709793ull, 521481209941ull}},
{{9622224242375656204ull, 4591915934290728936ull,
  4738528956371867970ull, 1042962419883ull}},
{{797704411041760792ull, 9183831868581457873ull, 9477057912743735940ull,
  2085924839766ull}},
{{14916936141175993452ull, 5526115188458201897ull,
  5584760397290657511ull, 417184967953ull}},
{{11387128208642435287ull, 11052230376916403795ull,
  11169520794581315022ull, 834369935906ull}},
{{4327512343575318957ull, 3657716680123255975ull,
  3892297515453078429ull, 1668739871813ull}},
{{8244200098198884438ull, 8110240965508471841ull,
  11846505947316346655ull, 333747974362ull}},
{{16488400196397768876ull, 16220481931016943682ull,
  5246267820923141694ull, 667495948725ull}},
{{14530056319085986135ull, 13994219788324335749ull,
  10492535641846283389ull, 1334991897450ull}},
{{10613368564462420654ull, 9541695502939119883ull,
  2538327209983015163ull, 2669983794901ull}},
{{9501371342376304778ull, 16665734359555465269ull,
  4197014256738513355ull, 533996758980ull}},
{{555998611043057939ull, 14884724645401378923ull,
  8394028513477026711ull, 1067993517960ull}},
{{1111997222086115877ull, 11322705217093206230ull,
  16788057026954053423ull, 2135987035920ull}},
{{11290445888642954145ull, 13332587487644372215ull,
  3357611405390810684ull, 427197407184ull}},
{{4134147703576356674ull, 8218430901579192815ull,
  6715222810781621369ull, 854394814368ull}},
{{8268295407152713348ull, 16436861803158385630ull,
  13430445621563242738ull, 1708789628736ull}},
{{16411054340398183963ull, 18044767619599318418ull,
  6375437939054558870ull, 341757925747ull}},
{{14375364607086816309ull, 17642791165489085221ull,
  12750875878109117741ull, 683515851494ull}},
{{10303985140464081001ull, 16838838257268618827ull,
  7055007682508683867ull, 1367031702989ull}},
{{2161226207218610386ull, 15230932440827686039ull,
  14110015365017367735ull, 2734063405978ull}},
{{7810942870927542724ull, 14114232932391268177ull,
  13890049517229204516ull, 546812681195ull}},
{{15621885741855085448ull, 9781721791072984738ull,
  9333354960748857417ull, 1093625362391ull}},
{{12797027410000619279ull, 1116699508436417861ull,
  219965847788163219ull, 2187250724783ull}},
{{13627451926225854826ull, 7602037531171104218ull,
  11112039613783363613ull, 437450144956ull}},
{{8808159778742158035ull, 15204075062342208437ull,
  3777335153857175610ull, 874900289913ull}},
{{17616319557484316070ull, 11961406050974865258ull,
  7554670307714351221ull, 1749800579826ull}},
{{3523263911496863214ull, 9770978839678793698ull,
  5200282876284780567ull, 349960115965ull}},
{{7046527822993726428ull, 1095213605648035780ull,
  10400565752569561135ull, 699920231930ull}},
{{14093055645987452856ull, 2190427211296071560ull,
  2354387431429570654ull, 1399840463861ull}},
{{9739367218265354095ull, 4380854422592143121ull,
  4708774862859141308ull, 2799680927722ull}},
{{5637222258394981143ull, 876170884518428624ull, 8320452602055648908ull,
  559936185544ull}},
{{11274444516789962285ull, 1752341769036857248ull,
  16640905204111297816ull, 1119872371088ull}}
};

static const UINT256 multipliers2_bid32[] =
  { {{7156996302188685206ull, 14694123111064470433ull,
      3521238664523520994ull, 11704ull}},
{{14313992604377370412ull, 10941502148419389250ull,
  7042477329047041989ull, 23408ull}},
{{10181241135045189207ull, 3436260223129226885ull,
  14084954658094083979ull, 46816ull}},
{{1915738196380826798ull, 6872520446258453771ull,
  9723165242478616342ull, 93633ull}},
{{3831476392761653595ull, 13745040892516907542ull,
  999586411247681068ull, 187267ull}},
{{7662952785523307189ull, 9043337711324263468ull,
  1999172822495362137ull, 374534ull}},
{{15325905571046614378ull, 18086675422648526936ull,
  3998345644990724274ull, 749068ull}},
{{12205067068383677139ull, 17726606771587502257ull,
  7996691289981448549ull, 1498136ull}},
{{5963390063057802661ull, 17006469469465452899ull,
  15993382579962897099ull, 2996272ull}},
{{11926780126115605321ull, 15566194865221354182ull,
  13540021086216242583ull, 5992545ull}},
{{5406816178521659026ull, 12685645656733156749ull,
  8633298098722933551ull, 11985091ull}},
{{10813632357043318052ull, 6924547239756761882ull,
  17266596197445867103ull, 23970182ull}},
{{3180520640377084488ull, 13849094479513523765ull,
  16086448321182182590ull, 47940365ull}},
{{6361041280754168975ull, 9251444885317495914ull,
  13726152568654813565ull, 95880731ull}},
{{12722082561508337950ull, 56145696925440212ull, 9005561063600075515ull,
  191761463ull}},
{{6997421049307124283ull, 112291393850880425ull,
  18011122127200151030ull, 383522926ull}},
{{13994842098614248565ull, 224582787701760850ull,
  17575500180690750444ull, 767045853ull}},
{{9542940123518945513ull, 449165575403521701ull,
  16704256287671949272ull, 1534091707ull}},
{{639136173328339410ull, 898331150807043403ull, 14961768501634346928ull,
  3068183415ull}},
{{1278272346656678820ull, 1796662301614086806ull,
  11476792929559142240ull, 6136366831ull}},
{{2556544693313357639ull, 3593324603228173612ull,
  4506841785408732864ull, 12272733663ull}},
{{5113089386626715277ull, 7186649206456347224ull,
  9013683570817465728ull, 24545467326ull}},
{{10226178773253430554ull, 14373298412912694448ull,
  18027367141634931456ull, 49090934652ull}},
{{2005613472797309491ull, 10299852752115837281ull,
  17607990209560311297ull, 98181869305ull}},
{{4011226945594618982ull, 2152961430522122946ull,
  16769236345411070979ull, 196363738611ull}},
{{4491594203860834120ull, 430592286104424589ull, 7043196083824124519ull,
  39272747722ull}},
{{8983188407721668240ull, 861184572208849178ull,
  14086392167648249038ull, 78545495444ull}},
{{17966376815443336479ull, 1722369144417698356ull,
  9726040261586946460ull, 157090990889ull}},
{{17486009557177121341ull, 3444738288835396713ull,
  1005336449464341304ull, 314181981779ull}},
{{7186550726177334592ull, 11756994101992810312ull,
  14958462548860509553ull, 62836396355ull}},
{{14373101452354669183ull, 5067244130276069008ull,
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};

static const UINT128 coefflimits_bid32[] = { {{10000000ull, 0ull}},
{{2000000ull, 0ull}},
{{400000ull, 0ull}},
{{80000ull, 0ull}},
{{16000ull, 0ull}},
{{3200ull, 0ull}},
{{640ull, 0ull}},
{{128ull, 0ull}},
{{25ull, 0ull}},
{{5ull, 0ull}},
{{1ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}}
};

// **********************************************************************

static const UINT128 breakpoints_bid64[] = { {{0ull, 0ull}},
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{{1613089907554989824ull, 62359851618708732ull}},
{{806544953777494784ull, 31179925809354366ull}},
{{403272476888747264ull, 15589962904677183ull}},
{{2016362384443737344ull, 77949814523385915ull}},
{{10231553229076644352ull, 38974907261692957ull}},
{{14339148651393097984ull, 19487453630846478ull}},
{{16355511035836835328ull, 97437268154232393ull}},
{{17401127554773193472ull, 48718634077116196ull}},
{{8700563777386596608ull, 24359317038558098ull}},
{{6609330739513880320ull, 121796585192790492ull}},
{{3304665369756940032ull, 60898292596395246ull}},
{{1652332684878469888ull, 30449146298197623ull}},
{{10049538379294010624ull, 15224573149098811ull}},
{{13354203749050950912ull, 76122865745494057ull}},
{{15900473911380251136ull, 38061432872747028ull}},
{{7950236955690125568ull, 19030716436373514ull}},
{{2857696631031525120ull, 95153582181867572ull}},
{{1428848315515762432ull, 47576791090933786ull}},
{{714424157757881088ull, 23788395545466893ull}},
{{3572120788789406464ull, 118941977727334465ull}},
{{11009432431249478912ull, 59470988863667232ull}},
{{5504716215624739328ull, 29735494431833616ull}},
{{2752358107812369664ull, 14867747215916808ull}},
{{13761790539061848832ull, 74338736079584040ull}},
{{6880895269530924288ull, 37169368039792020ull}},
{{3440447634765462016ull, 18584684019896010ull}},
{{17202238173827310848ull, 92923420099480050ull}},
{{8601119086913655296ull, 46461710049740025ull}},
{{13523931580311603456ull, 23230855024870012ull}},
{{12279425680429362944ull, 116154275124350063ull}},
{{15363084877069457152ull, 58077137562175031ull}},
{{16904914475389504256ull, 29038568781087515ull}},
{{17675829274549527808ull, 14519284390543757ull}},
{{14592170077909433600ull, 72596421952718789ull}},
{{16519457075809492480ull, 36298210976359394ull}},
{{8259728537904746240ull, 18149105488179697ull}},
{{4405154542104628224ull, 90745527440898487ull}},
{{11425949307907089920ull, 45372763720449243ull}},
{{14936346690808320768ull, 22686381860224621ull}},
{{894757159203397632ull, 113431909301123109ull}},
{{9670750616456474624ull, 56715954650561554ull}},
{{4835375308228237312ull, 28357977325280777ull}},
{{5730132467431634944ull, 141789886626403886ull}},
{{2865066233715817472ull, 70894943313201943ull}},
{{10655905153712684544ull, 35447471656600971ull}},
{{14551324613711118080ull, 17723735828300485ull}},
{{17416390847426935552ull, 88618679141502428ull}},
{{8708195423713467648ull, 44309339570751214ull}},
{{4354097711856733696ull, 22154669785375607ull}},
{{3323744485574117632ull, 110773348926878036ull}},
{{1661872242787058688ull, 55386674463439018ull}},
{{830936121393529344ull, 27693337231719509ull}},
{{4154680606967647232ull, 138466686158597545ull}},
{{11300712340338599424ull, 69233343079298772ull}}
};

static const int exponents_bid64[] = { -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  -1,
  0,
  0,
  0,
  1,
  1,
  1,
  2,
  2,
  2,
  3,
  3,
  3,
  3,
  4,
  4,
  4,
  5,
  5,
  5,
  6,
  6,
  6,
  6,
  7,
  7,
  7,
  8,
  8,
  8,
  9,
  9,
  9,
  9,
  10,
  10,
  10,
  11,
  11,
  11,
  12,
  12,
  12,
  12,
  13,
  13,
  13,
  14,
  14,
  14,
  15,
  15,
  15,
  15,
  16,
  16,
  16,
  17,
  17,
  17,
  18,
  18,
  18,
  18,
  19,
  19,
  19,
  20,
  20,
  20,
  21,
  21,
  21,
  21,
  22,
  22,
  22,
  23,
  23,
  23,
  24,
  24,
  24,
  24,
  25,
  25,
  25,
  26,
  26,
  26,
  27,
  27,
  27,
  27,
  28,
  28,
  28,
  29,
  29,
  29,
  30,
  30,
  30,
  30,
  31,
  31,
  31,
  32,
  32,
  32,
  33,
  33,
  33,
  34,
  34,
  34,
  34,
  35,
  35,
  35,
  36,
  36,
  36,
  37,
  37,
  37,
  37,
  38,
  38,
  38,
  39,
  39,
  39,
  40,
  40,
  40,
  40,
  41,
  41,
  41,
  42,
  42,
  42,
  43,
  43,
  43,
  43,
  44,
  44,
  44,
  45,
  45,
  45,
  46,
  46,
  46,
  46,
  47,
  47,
  47,
  48,
  48,
  48,
  49,
  49,
  49,
  49,
  50,
  50,
  50,
  51,
  51,
  51,
  52,
  52,
  52,
  52,
  53,
  53,
  53,
  54,
  54,
  54,
  55,
  55,
  55,
  55,
  56,
  56,
  56,
  57,
  57,
  57,
  58,
  58,
  58,
  58,
  59,
  59,
  59,
  60,
  60,
  60,
  61,
  61,
  61,
  62,
  62,
  62,
  62,
  63,
  63,
  63,
  64,
  64,
  64,
  65,
  65,
  65,
  65,
  66,
  66,
  66,
  67,
  67,
  67,
  68,
  68,
  68,
  68,
  69,
  69,
  69,
  70,
  70,
  70,
  71,
  71,
  71,
  71,
  72,
  72,
  72,
  73,
  73,
  73,
  74,
  74,
  74,
  74,
  75,
  75,
  75,
  76,
  76,
  76,
  77,
  77,
  77,
  77,
  78,
  78,
  78,
  79,
  79,
  79,
  80,
  80,
  80,
  80,
  81,
  81,
  81,
  82,
  82,
  82,
  83,
  83,
  83,
  83,
  84,
  84,
  84,
  85,
  85,
  85,
  86,
  86,
  86,
  86,
  87,
  87,
  87,
  88,
  88,
  88,
  89,
  89,
  89,
  90,
  90,
  90,
  90,
  91,
  91,
  91,
  92,
  92,
  92,
  93,
  93,
  93,
  93,
  94,
  94,
  94,
  95,
  95,
  95,
  96,
  96,
  96,
  96,
  97,
  97,
  97,
  98,
  98,
  98,
  99,
  99,
  99,
  99,
  100,
  100,
  100,
  101,
  101,
  101,
  102,
  102,
  102,
  102,
  103,
  103,
  103,
  104,
  104,
  104,
  105,
  105,
  105,
  105,
  106,
  106,
  106,
  107,
  107,
  107,
  108,
  108,
  108,
  108,
  109,
  109,
  109,
  110,
  110,
  110,
  111,
  111,
  111,
  111,
  112,
  112,
  112,
  113,
  113,
  113,
  114,
  114,
  114,
  114,
  115,
  115,
  115,
  116,
  116,
  116,
  117,
  117,
  117,
  117,
  118,
  118,
  118,
  119,
  119,
  119,
  120,
  120,
  120,
  121,
  121,
  121,
  121,
  122,
  122,
  122,
  123,
  123,
  123,
  124,
  124,
  124,
  124,
  125,
  125,
  125,
  126,
  126,
  126,
  127,
  127,
  127,
  127,
  128,
  128,
  128,
  129,
  129,
  129,
  130,
  130,
  130,
  130,
  131,
  131,
  131,
  132,
  132,
  132,
  133,
  133,
  133,
  133,
  134,
  134,
  134,
  135,
  135,
  135,
  136,
  136,
  136,
  136,
  137,
  137,
  137,
  138,
  138,
  138,
  139,
  139,
  139,
  139,
  140,
  140,
  140,
  141,
  141,
  141,
  142,
  142,
  142,
  142,
  143,
  143,
  143,
  144,
  144,
  144,
  145,
  145,
  145,
  145,
  146,
  146,
  146,
  147,
  147,
  147,
  148,
  148,
  148,
  149,
  149,
  149,
  149,
  150,
  150,
  150,
  151,
  151,
  151,
  152,
  152,
  152,
  152,
  153,
  153,
  153,
  154,
  154,
  154,
  155,
  155,
  155,
  155,
  156,
  156,
  156,
  157,
  157,
  157,
  158,
  158,
  158,
  158,
  159,
  159,
  159,
  160,
  160,
  160,
  161,
  161,
  161,
  161,
  162,
  162,
  162,
  163,
  163,
  163,
  164,
  164,
  164,
  164,
  165,
  165,
  165,
  166,
  166,
  166,
  167,
  167,
  167,
  167,
  168,
  168,
  168,
  169,
  169,
  169,
  170,
  170,
  170,
  170,
  171,
  171,
  171,
  172,
  172,
  172,
  173,
  173,
  173,
  173,
  174,
  174,
  174,
  175,
  175,
  175,
  176,
  176,
  176,
  176,
  177,
  177,
  177,
  178,
  178,
  178,
  179,
  179,
  179,
  180,
  180,
  180,
  180,
  181,
  181,
  181,
  182,
  182,
  182,
  183,
  183,
  183,
  183,
  184,
  184,
  184,
  185,
  185,
  185,
  186,
  186,
  186,
  186,
  187,
  187,
  187,
  188,
  188,
  188,
  189,
  189,
  189,
  189,
  190,
  190,
  190,
  191,
  191,
  191,
  192,
  192,
  192,
  192,
  193,
  193,
  193,
  194,
  194,
  194,
  195,
  195,
  195,
  195,
  196,
  196,
  196,
  197,
  197,
  197,
  198,
  198,
  198,
  198,
  199,
  199,
  199,
  200,
  200,
  200,
  201,
  201,
  201,
  201,
  202,
  202,
  202,
  203,
  203,
  203,
  204,
  204,
  204,
  204,
  205,
  205,
  205,
  206,
  206,
  206,
  207,
  207,
  207,
  208,
  208,
  208,
  208,
  209,
  209,
  209,
  210,
  210,
  210,
  211,
  211,
  211,
  211,
  212,
  212,
  212,
  213,
  213,
  213,
  214,
  214,
  214,
  214,
  215,
  215,
  215,
  216,
  216,
  216,
  217,
  217,
  217,
  217,
  218,
  218,
  218,
  219,
  219,
  219,
  220,
  220,
  220,
  220,
  221,
  221,
  221,
  222,
  222,
  222,
  223,
  223,
  223,
  223,
  224,
  224,
  224,
  225,
  225,
  225,
  226,
  226,
  226,
  226,
  227,
  227,
  227,
  228,
  228,
  228,
  229,
  229,
  229,
  229,
  230,
  230,
  230,
  231,
  231,
  231,
  232,
  232,
  232,
  232,
  233,
  233,
  233,
  234,
  234,
  234,
  235,
  235,
  235,
  236,
  236,
  236,
  236,
  237,
  237,
  237,
  238,
  238,
  238,
  239,
  239,
  239,
  239,
  240,
  240,
  240,
  241,
  241,
  241,
  242,
  242,
  242,
  242,
  243,
  243,
  243,
  244,
  244,
  244,
  245,
  245,
  245,
  245,
  246,
  246,
  246,
  247,
  247,
  247,
  248,
  248,
  248,
  248,
  249,
  249,
  249,
  250,
  250,
  250,
  251,
  251,
  251,
  251,
  252,
  252,
  252,
  253,
  253,
  253,
  254,
  254,
  254,
  254,
  255,
  255,
  255,
  256,
  256,
  256,
  257,
  257,
  257,
  257,
  258,
  258,
  258,
  259,
  259,
  259,
  260,
  260,
  260,
  260,
  261,
  261,
  261,
  262,
  262,
  262,
  263,
  263,
  263,
  263,
  264,
  264,
  264,
  265,
  265,
  265,
  266,
  266,
  266,
  267,
  267,
  267,
  267,
  268,
  268,
  268,
  269,
  269,
  269,
  270,
  270,
  270,
  270,
  271,
  271,
  271,
  272,
  272,
  272,
  273,
  273,
  273,
  273,
  274,
  274,
  274,
  275,
  275,
  275,
  276,
  276,
  276,
  276,
  277,
  277,
  277,
  278,
  278,
  278,
  279,
  279,
  279,
  279,
  280,
  280,
  280,
  281,
  281,
  281,
  282,
  282,
  282,
  282,
  283,
  283,
  283,
  284,
  284,
  284,
  285,
  285,
  285,
  285,
  286,
  286,
  286,
  287,
  287,
  287,
  288,
  288,
  288,
  288,
  289,
  289,
  289,
  290,
  290,
  290,
  291,
  291,
  291,
  291,
  292,
  292,
  292,
  293,
  293,
  293,
  294,
  294,
  294,
  295,
  295,
  295,
  295,
  296,
  296,
  296,
  297,
  297,
  297,
  298,
  298,
  298,
  298,
  299,
  299,
  299,
  300,
  300,
  300,
  301,
  301,
  301,
  301,
  302,
  302,
  302,
  303,
  303,
  303,
  304,
  304,
  304,
  304,
  305,
  305,
  305,
  306,
  306,
  306,
  307,
  307,
  307,
  307,
  308,
  308,
  308,
  309,
  309,
  309,
  310,
  310,
  310,
  310,
  311,
  311,
  311,
  312,
  312,
  312,
  313,
  313,
  313,
  313,
  314,
  314,
  314,
  315,
  315,
  315,
  316,
  316,
  316,
  316,
  317,
  317,
  317,
  318,
  318,
  318,
  319,
  319,
  319,
  319,
  320,
  320,
  320,
  321,
  321,
  321,
  322,
  322,
  322,
  322,
  323,
  323,
  323,
  324,
  324,
  324,
  325,
  325,
  325,
  326,
  326,
  326,
  326,
  327,
  327,
  327,
  328,
  328,
  328,
  329,
  329,
  329,
  329,
  330,
  330,
  330,
  331,
  331,
  331,
  332,
  332,
  332,
  332,
  333,
  333,
  333,
  334,
  334,
  334,
  335,
  335,
  335,
  335,
  336,
  336,
  336,
  337,
  337,
  337,
  338,
  338,
  338,
  338,
  339,
  339,
  339,
  340,
  340,
  340,
  341,
  341,
  341,
  341,
  342,
  342,
  342,
  343,
  343,
  343,
  344,
  344,
  344,
  344,
  345,
  345,
  345,
  346,
  346,
  346,
  347,
  347,
  347,
  347,
  348,
  348,
  348,
  349,
  349,
  349,
  350,
  350,
  350,
  350,
  351,
  351,
  351,
  352,
  352,
  352,
  353,
  353,
  353,
  354,
  354,
  354,
  354,
  355,
  355,
  355,
  356,
  356,
  356,
  357,
  357,
  357,
  357,
  358,
  358,
  358,
  359,
  359,
  359,
  360,
  360,
  360,
  360,
  361,
  361,
  361,
  362,
  362,
  362,
  363,
  363,
  363,
  363,
  364,
  364,
  364,
  365,
  365,
  365,
  366,
  366,
  366,
  366,
  367,
  367,
  367,
  368,
  368,
  368,
  369,
  369,
  369,
  369,
  370,
  370,
  370,
  371,
  371,
  371,
  372,
  372,
  372,
  372,
  373,
  373,
  373,
  374,
  374,
  374,
  375,
  375,
  375,
  375,
  376,
  376,
  376,
  377,
  377,
  377,
  378,
  378,
  378,
  378,
  379,
  379,
  379,
  380,
  380,
  380,
  381,
  381,
  381,
  381,
  382,
  382,
  382,
  383,
  383,
  383,
  384,
  384,
  384,
  385,
  385,
  385,
  385,
  386,
  386,
  386,
  387,
  387,
  387,
  388,
  388,
  388,
  388,
  389,
  389,
  389,
  390,
  390,
  390,
  391,
  391,
  391,
  391,
  392,
  392,
  392,
  393,
  393,
  393,
  394,
  394,
  394,
  394,
  395,
  395,
  395,
  396,
  396,
  396,
  397,
  397,
  397,
  397,
  398,
  398,
  398,
  399,
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  399,
  400,
  400,
  400,
  400,
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  401,
  401,
  402,
  402,
  402,
  403,
  403,
  403,
  403,
  404,
  404,
  404,
  405,
  405,
  405,
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  407,
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  408,
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  409,
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  410,
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  412,
  412,
  413,
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  413,
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  414,
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  415,
  415,
  415,
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  416,
  416,
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  418,
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  419,
  419,
  419,
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  420,
  420,
  421,
  421,
  421,
  422,
  422,
  422,
  422,
  423,
  423,
  423,
  424,
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  425,
  425,
  425,
  425,
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  427,
  428,
  428,
  428,
  428,
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  429,
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  430,
  430,
  430,
  431,
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  431,
  432,
  432,
  432,
  433,
  433,
  433,
  434,
  434,
  434,
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  435,
  435,
  435,
  436,
  436,
  436,
  437,
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  438,
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  439,
  439,
  439,
  440,
  440,
  440,
  441,
  441,
  441,
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  442,
  442,
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  443,
  443,
  443,
  444,
  444,
  444,
  444,
  445,
  445,
  445,
  446,
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  447,
  447,
  447,
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  448,
  448,
  448,
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  449,
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  450,
  450,
  450,
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  453,
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  454,
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  455,
  455,
  455,
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  464,
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  466,
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  472,
  472,
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  473,
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  475,
  475,
  475,
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  476,
  476,
  476,
  477,
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  480,
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  491,
  491,
  491,
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  492,
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  494,
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  495,
  495,
  495,
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  496,
  496,
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  497,
  497,
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  500,
  500,
  500,
  500,
  501,
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  501,
  502,
  502,
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  503,
  503,
  503,
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  504,
  504,
  504,
  505,
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  506,
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  509,
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  510,
  510,
  510,
  511,
  511,
  511,
  512,
  512,
  512,
  512,
  513,
  513,
  513,
  514,
  514,
  514,
  515,
  515,
  515,
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  516,
  516,
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  518,
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  519,
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  522,
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  522,
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  524,
  524,
  524,
  524,
  525,
  525,
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  526,
  526,
  526,
  527,
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  527,
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  528,
  528,
  528,
  529,
  529,
  529,
  530,
  530,
  530,
  531,
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  531,
  532,
  532,
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  533,
  533,
  533,
  534,
  534,
  534,
  534,
  535,
  535,
  535,
  536,
  536,
  536,
  537,
  537,
  537,
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  538,
  538,
  538,
  539,
  539,
  539,
  540,
  540,
  540,
  540,
  541,
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  542,
  542,
  542,
  543,
  543,
  543,
  543,
  544,
  544,
  544,
  545,
  545,
  545,
  546,
  546,
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  547,
  547,
  547,
  548,
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  549,
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  550,
  550,
  551,
  551,
  551,
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  563,
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  565,
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  566,
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  567,
  567,
  567,
  568,
  568,
  568,
  568,
  569,
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  570,
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  571,
  571,
  571,
  571,
  572,
  572,
  572,
  573,
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  579,
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  580,
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};

static const UINT256 multipliers1_bid64[] = { {{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{0ull, 0ull, 0ull, 0ull}},
{{11950291386221365447ull, 9908758460416160234ull,
  6069031768864303422ull, 2518694348665986494ull}},
{{5453838698733179278ull, 1370772847122768853ull,
  12138063537728606845ull, 5037388697331972988ull}},
{{10907677397466358555ull, 2741545694245537706ull,
  5829383001747662074ull, 10074777394663945977ull}},
{{9560233108977092358ull, 4237657953591017864ull,
  8544574229833353061ull, 2014955478932789195ull}},
{{673722144244633099ull, 8475315907182035729ull,
  17089148459666706122ull, 4029910957865578390ull}},
{{1347444288489266198ull, 16950631814364071458ull,
  15731552845623860628ull, 8059821915731156781ull}},
{{7648186487181673886ull, 18147521621840455584ull,
  6835659383866682448ull, 1611964383146231356ull}},
{{15296372974363347772ull, 17848299169971359552ull,
  13671318767733364897ull, 3223928766292462712ull}},
{{12146001875017143928ull, 17249854266233167489ull,
  8895893461757178179ull, 6447857532584925425ull}},
{{13497246819229159756ull, 18207366112214274790ull,
  1779178692351435635ull, 1289571506516985085ull}},
{{8547749564748767895ull, 17967988150718997965ull,
  3558357384702871271ull, 2579143013033970170ull}},
{{17095499129497535789ull, 17489232227728444314ull,
  7116714769405742543ull, 5158286026067940340ull}},
{{15744254185285519961ull, 16531720381747337013ull,
  14233429538811485087ull, 10316572052135880680ull}},
{{3148850837057103993ull, 10685041705833288049ull,
  2846685907762297017ull, 2063314410427176136ull}},
{{6297701674114207985ull, 2923339337957024482ull,
  5693371815524594035ull, 4126628820854352272ull}},
{{12595403348228415969ull, 5846678675914048964ull,
  11386743631049188070ull, 8253257641708704544ull}},
{{13587127113871414164ull, 15926730994150451085ull,
  17034743985177478906ull, 1650651528341740908ull}},
{{8727510154033276711ull, 13406717914591350555ull,
  15622743896645406197ull, 3301303056683481817ull}},
{{17455020308066553422ull, 8366691755473149494ull,
  12798743719581260779ull, 6602606113366963635ull}},
{{14559050505839041654ull, 16430733610062271191ull,
  2559748743916252155ull, 1320521222673392727ull}},
{{10671356937968531692ull, 14414723146414990767ull,
  5119497487832504311ull, 2641042445346785454ull}},
{{2895969802227511768ull, 10382702219120429919ull,
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  7102883119854016401ull, 2081586438932879816ull}},
{{10829168977931348763ull, 3583519116410405014ull,
  14205766239708032803ull, 4163172877865759632ull}},
{{3211593882153145910ull, 7167038232820810029ull,
  9964788405706513990ull, 8326345755731519265ull}},
{{15399714035398270475ull, 1433407646564162005ull,
  1992957681141302798ull, 1665269151146303853ull}},
{{12352683997086989334ull, 2866815293128324011ull,
  3985915362282605596ull, 3330538302292607706ull}},
{{6258623920464427051ull, 5733630586256648023ull,
  7971830724565211192ull, 6661076604585215412ull}},
{{8630422413576706057ull, 15904121376218970897ull,
  8973063774396862884ull, 1332215320917043082ull}},
{{17260844827153412114ull, 13361498678728390178ull,
  17946127548793725769ull, 2664430641834086164ull}}
};

static const UINT256 multipliers2_bid64[] =
  { {{9438227768328448678ull, 4145630637659340425ull,
      17596454752367787604ull, 34ull}},
{{429711462947345740ull, 8291261275318680851ull,
  16746165431026023592ull, 69ull}},
{{859422925894691480ull, 16582522550637361702ull,
  15045586788342495568ull, 139ull}},
{{1718845851789382959ull, 14718301027565171788ull,
  11644429502975439521ull, 279ull}},
{{3437691703578765918ull, 10989857981420791960ull,
  4842114932241327427ull, 559ull}},
{{6875383407157531835ull, 3532971889132032304ull,
  9684229864482654855ull, 1118ull}},
{{13750766814315063670ull, 7065943778264064608ull,
  921715655255758094ull, 2237ull}},
{{9054789554920575724ull, 14131887556528129217ull,
  1843431310511516188ull, 4474ull}},
{{18109579109841151448ull, 9817031039346706818ull,
  3686862621023032377ull, 8948ull}},
{{17772414145972751280ull, 1187318004983862021ull,
  7373725242046064755ull, 17896ull}},
{{17098084218235950944ull, 2374636009967724043ull,
  14747450484092129510ull, 35792ull}},
{{15749424362762350272ull, 4749272019935448087ull,
  11048156894474707404ull, 71585ull}},
{{13052104651815148928ull, 9498544039870896175ull,
  3649569715239863192ull, 143171ull}},
{{7657465229920746239ull, 550344006032240735ull, 7299139430479726385ull,
  286342ull}},
{{15314930459841492478ull, 1100688012064481470ull,
  14598278860959452770ull, 572684ull}},
{{12183116845973433340ull, 2201376024128962941ull,
  10749813648209353924ull, 1145369ull}},
{{5919489618237315063ull, 4402752048257925883ull,
  3052883222709156232ull, 2290739ull}},
{{11838979236474630126ull, 8805504096515851766ull,
  6105766445418312464ull, 4581478ull}},
{{5231214399239708635ull, 17611008193031703533ull,
  12211532890836624928ull, 9162956ull}},
{{10462428798479417270ull, 16775272312353855450ull,
  5976321707963698241ull, 18325913ull}},
{{2478113523249282924ull, 15103800550998159285ull,
  11952643415927396483ull, 36651826ull}},
{{4956227046498565847ull, 11760857028286766954ull,
  5458542758145241351ull, 73303653ull}},
{{9912454092997131693ull, 5074969982863982292ull,
  10917085516290482703ull, 146607306ull}},
{{1378164112284711770ull, 10149939965727964585ull,
  3387426958871413790ull, 293214613ull}},
{{2756328224569423540ull, 1853135857746377554ull,
  6774853917742827581ull, 586429226ull}},
{{5512656449138847079ull, 3706271715492755108ull,
  13549707835485655162ull, 1172858452ull}},
{{11025312898277694158ull, 7412543430985510216ull,
  8652671597261758708ull, 2345716905ull}},
{{3603881722845836699ull, 14825086861971020433ull,
  17305343194523517416ull, 4691433810ull}},
{{7207763445691673397ull, 11203429650232489250ull,
  16163942315337483217ull, 9382867621ull}},
{{14415526891383346794ull, 3960115226755426884ull,
  13881140556965414819ull, 18765735243ull}},
{{10384309709057141972ull, 7920230453510853769ull,
  9315537040221278022ull, 37531470487ull}},
{{2321875344404732328ull, 15840460907021707539ull,
  184330006733004428ull, 75062940975ull}},
{{4643750688809464655ull, 13234177740333863462ull,
  368660013466008857ull, 150125881950ull}},
{{9287501377618929309ull, 8021611406958175308ull, 737320026932017715ull,
  300251763900ull}},
{{128258681528307001ull, 16043222813916350617ull,
  1474640053864035430ull, 600503527800ull}},
{{256517363056614002ull, 13639701554123149618ull,
  2949280107728070861ull, 1201007055600ull}},
{{513034726113228003ull, 8832659034536747620ull, 5898560215456141723ull,
  2402014111200ull}},
{{1026069452226456005ull, 17665318069073495240ull,
  11797120430912283446ull, 4804028222400ull}},
{{2052138904452912009ull, 16883892064437438864ull,
  5147496788115015277ull, 9608056444801ull}},
{{4104277808905824018ull, 15321040055165326112ull,
  10294993576230030555ull, 19216112889602ull}},
{{8208555617811648035ull, 12195336036621100608ull,
  2143243078750509495ull, 38432225779205ull}},
{{16417111235623296070ull, 5943927999532649600ull,
  4286486157501018991ull, 76864451558410ull}},
{{14387478397537040523ull, 11887855999065299201ull,
  8572972315002037982ull, 153728903116820ull}},
{{10328212721364529429ull, 5328967924421046787ull,
  17145944630004075965ull, 307457806233640ull}},
{{2209681369019507241ull, 10657935848842093575ull,
  15845145186298600314ull, 614915612467281ull}},
{{4419362738039014482ull, 2869127623974635534ull,
  13243546298887649013ull, 1229831224934563ull}},
{{8838725476078028963ull, 5738255247949271068ull,
  8040348524065746410ull, 2459662449869127ull}},
{{17677450952156057925ull, 11476510495898542136ull,
  16080697048131492820ull, 4919324899738254ull}},
{{16908157830602564233ull, 4506276918087532657ull,
  13714650022553434025ull, 9838649799476509ull}},
{{15369571587495576850ull, 9012553836175065315ull,
  8982555971397316434ull, 19677299598953019ull}},
{{12292399101281602084ull, 18025107672350130631ull,
  17965111942794632868ull, 39354599197906038ull}},
{{6138054128853652551ull, 17603471270990709647ull,
  17483479811879714121ull, 78709198395812077ull}},
{{12276108257707305101ull, 16760198468271867678ull,
  16520215550049876627ull, 157418396791624155ull}},
{{6105472441705058585ull, 15073652862834183741ull,
  14593687026390201639ull, 314836793583248311ull}},
{{12210944883410117170ull, 11700561651958815866ull,
  10740629979070851663ull, 629673587166496623ull}},
{{5975145693110682724ull, 4954379230208080117ull,
  3034515884432151711ull, 1259347174332993247ull}},
{{1195029138622136545ull, 12058922290267346993ull,
  7985600806370250988ull, 251869434866598649ull}},
{{2390058277244273090ull, 5671100506825142370ull,
  15971201612740501977ull, 503738869733197298ull}},
{{4780116554488546179ull, 11342201013650284740ull,
  13495659151771452338ull, 1007477739466394597ull}},
{{956023310897709236ull, 2268440202730056948ull,
  10077829459838111114ull, 201495547893278919ull}},
{{1912046621795418472ull, 4536880405460113896ull,
  1708914845966670612ull, 402991095786557839ull}},
{{3824093243590836943ull, 9073760810920227792ull,
  3417829691933341224ull, 805982191573115678ull}},
{{15522213907685808682ull, 9193449791667866204ull,
  11751612382612399214ull, 161196438314623135ull}},
{{12597683741662065747ull, 18386899583335732409ull,
  5056480691515246812ull, 322392876629246271ull}},
{{6748623409614579878ull, 18327055092961913203ull,
  10112961383030493625ull, 644785753258492542ull}},
{{1349724681922915976ull, 11044108648076203287ull,
  9401289906089919371ull, 128957150651698508ull}},
{{2699449363845831952ull, 3641473222442854958ull, 355835738470287127ull,
  257914301303397017ull}},
{{5398898727691663903ull, 7282946444885709916ull, 711671476940574254ull,
  515828602606794034ull}},
{{10797797455383327805ull, 14565892889771419832ull,
  1423342953881148508ull, 1031657205213588068ull}},
{{13227605935302396531ull, 6602527392696194289ull,
  11352715035001960671ull, 206331441042717613ull}},
{{8008467796895241445ull, 13205054785392388579ull,
  4258685996294369726ull, 412662882085435227ull}},
{{16016935593790482890ull, 7963365497075225542ull,
  8517371992588739453ull, 825325764170870454ull}},
{{17960782377725737871ull, 8971370728898865754ull,
  16460869657485389183ull, 165065152834174090ull}},
{{17474820681741924126ull, 17942741457797731509ull,
  14474995241261226750ull, 330130305668348181ull}},
{{16502897289774296635ull, 17438738841885911403ull,
  10503246408812901885ull, 660260611336696363ull}},
{{6989928272696769651ull, 14555794212602913250ull,
  13168695725988311346ull, 132052122267339272ull}},
{{13979856545393539301ull, 10664844351496274884ull,
  7890647378267071077ull, 264104244534678545ull}},
{{9512969017077526985ull, 2882944629282998153ull,
  15781294756534142155ull, 528208489069357090ull}},
{{579193960445502354ull, 5765889258565996307ull,
  13115845439358732694ull, 1056416978138714181ull}},
{{7494536421572921118ull, 1153177851713199261ull,
  6312517902613656862ull, 211283395627742836ull}},
{{14989072843145842235ull, 2306355703426398522ull,
  12625035805227313724ull, 422566791255485672ull}},
{{11531401612582132853ull, 4612711406852797045ull,
  6803327536745075832ull, 845133582510971345ull}},
{{9684977952000247217ull, 8301239910854380055ull,
  1360665507349015166ull, 169026716502194269ull}},
{{923211830290942818ull, 16602479821708760111ull,
  2721331014698030332ull, 338053433004388538ull}},
{{1846423660581885636ull, 14758215569707968606ull,
  5442662029396060665ull, 676106866008777076ull}},
{{7747982361600197774ull, 6640991928683504044ull,
  4777881220621122456ull, 135221373201755415ull}},
{{15495964723200395548ull, 13281983857367008088ull,
  9555762441242244912ull, 270442746403510830ull}},
{{12545185372691239479ull, 8117223641024464561ull,
  664780808774938209ull, 540885492807021661ull}},
{{6643626671672927341ull, 16234447282048929123ull,
  1329561617549876418ull, 1081770985614043322ull}},
{{12396771778560316438ull, 3246889456409785824ull,
  7644609952993795930ull, 216354197122808664ull}},
{{6346799483411081260ull, 6493778912819571649ull,
  15289219905987591860ull, 432708394245617328ull}},
{{12693598966822162519ull, 12987557825639143298ull,
  12131695738265632104ull, 865416788491234657ull}},
{{17296115052332073797ull, 6286860379869738982ull,
  9805036777136947067ull, 173083357698246931ull}},
{{16145486030954595977ull, 12573720759739477965ull,
  1163329480564342518ull, 346166715396493863ull}},
{{13844227988199640338ull, 6700697445769404315ull,
  2326658961128685037ull, 692333430792987726ull}},
{{13836892041865659038ull, 12408185933379611832ull,
  4154680606967647330ull, 138466686158597545ull}},
{{9227040010021766459ull, 6369627793049672049ull,
  8309361213935294661ull, 276933372317195090ull}},
{{7335946333981301ull, 12739255586099344099ull, 16618722427870589322ull,
  553866744634390180ull}},
{{14671892667962602ull, 7031767098489136582ull, 14790700782031627029ull,
  1107733489268780361ull}},
{{7381632008017413167ull, 1406353419697827316ull,
  6647488971148235729ull, 221546697853756072ull}},
{{14763264016034826334ull, 2812706839395654632ull,
  13294977942296471458ull, 443093395707512144ull}},
{{11079783958360101051ull, 5625413678791309265ull,
  8143211810883391300ull, 886186791415024289ull}},
{{16973352050639661503ull, 15882477994725903145ull,
  16386037621144319552ull, 177237358283004857ull}},
{{15499960027569771390ull, 13318211915742254675ull,
  14325331168579087489ull, 354474716566009715ull}},
{{12553175981429991164ull, 8189679757774957735ull,
  10203918263448623363ull, 708949433132019431ull}},
{{17268030455253639526ull, 16395331210522632839ull,
  5730132467431634995ull, 141789886626403886ull}},
{{16089316836797727436ull, 14343918347335714063ull,
  11460264934863269991ull, 283579773252807772ull}},
{{13731889599885903255ull, 10241092620961876511ull,
  4473785796016988367ull, 567159546505615545ull}},
{{9017035126062254893ull, 2035441168214201407ull,
  8947571592033976735ull, 1134319093011231090ull}},
{{9182104654696271625ull, 407088233642840281ull, 1789514318406795347ull,
  226863818602246218ull}},
{{18364209309392543250ull, 814176467285680562ull,
  3579028636813590694ull, 453727637204492436ull}},
{{18281674545075534884ull, 1628352934571361125ull,
  7158057273627181388ull, 907455274408984872ull}},
{{3656334909015106977ull, 325670586914272225ull, 8810309084209256924ull,
  181491054881796974ull}},
{{7312669818030213954ull, 651341173828544450ull,
  17620618168418513848ull, 362982109763593948ull}},
{{14625339636060427907ull, 1302682347657088900ull,
  16794492263127476080ull, 725964219527187897ull}},
{{10303765556695906228ull, 7639234099015238426ull,
  10737596082109315862ull, 145192843905437579ull}},
{{2160787039682260840ull, 15278468198030476853ull,
  3028448090509080108ull, 290385687810875159ull}},
{{4321574079364521680ull, 12110192322351402090ull,
  6056896181018160217ull, 580771375621750318ull}},
{{8643148158729043359ull, 5773640570993252564ull,
  12113792362036320435ull, 1161542751243500636ull}},
{{1728629631745808672ull, 4844076928940560836ull,
  6112107287149174410ull, 232308550248700127ull}},
{{3457259263491617344ull, 9688153857881121672ull,
  12224214574298348820ull, 464617100497400254ull}},
{{6914518526983234687ull, 929563642052691728ull, 6001685074887146025ull,
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{{8761601334880467584ull, 14943307987378179638ull,
  15957732273945070497ull, 185846840198960101ull}},
{{17523202669760935168ull, 11439871901046807660ull,
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{{16599661265812318719ull, 4432999728384063705ull,
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{{3319932253162463744ull, 886599945676812741ull, 9076837004414146075ull,
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{{6639864506324927488ull, 1773199891353625482ull,
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{{13279729012649854976ull, 3546399782707250964ull,
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{{8112713951590158335ull, 7092799565414501929ull,
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{{9001240419801852314ull, 12486606357308631355ull,
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{{18002480839603704627ull, 6526468640907711094ull,
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{{17558217605497857637ull, 13052937281815422189ull,
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{{14579689965325302497ull, 17367982715330725730ull,
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{{10712635856941053378ull, 16289221356951899845ull,
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{{2978527640172555140ull, 14131698640194248075ull,
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{{4285054342776421352ull, 6515688542780759938ull,
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{{8570108685552842703ull, 13031377085561519876ull,
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{{17140217371105685405ull, 7616010097413488136ull,
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{{15833690668501819194ull, 15232020194826976273ull,
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{{3166738133700363839ull, 10425101668449215901ull,
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{{3060814949672548531ull, 17440078438735565859ull,
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{{15369558248902150999ull, 3488015687747113171ull,
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{{12292372424094750382ull, 6976031375494226343ull,
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{{6138000774479949148ull, 13952062750988452687ull,
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{{1227600154895989830ull, 13858458994423421507ull,
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  9327848209882943045ull, 1128430269653696552ull}},
{{537439255418732394ull, 8229182900159633379ull, 9244267271460409255ull,
  225686053930739310ull}},
{{1074878510837464788ull, 16458365800319266758ull, 41790469211266894ull,
  451372107861478621ull}},
{{2149757021674929575ull, 14469987526928981900ull, 83580938422533789ull,
  902744215722957242ull}},
{{4119300219076896239ull, 6583346320127706703ull,
  7395413817168327404ull, 180548843144591448ull}},
{{8238600438153792477ull, 13166692640255413406ull,
  14790827634336654808ull, 361097686289182896ull}},
{{16477200876307584953ull, 7886641206801275196ull,
  11134911194963758001ull, 722195372578365793ull}},
{{3295440175261516991ull, 16334723500327896332ull,
  13295028683218482569ull, 144439074515673158ull}},
{{6590880350523033981ull, 14222702926946241048ull,
  8143313292727413523ull, 288878149031346317ull}},
{{13181760701046067962ull, 9998661780182930480ull,
  16286626585454827047ull, 577756298062692634ull}},
{{7916777328382584308ull, 1550579486656309345ull,
  14126509097200102479ull, 1155512596125385269ull}},
{{12651401909902247832ull, 11378162341556992838ull,
  17582697078407661788ull, 231102519225077053ull}},
{{6856059746094944047ull, 4309580609404434061ull,
  16718650083105771961ull, 462205038450154107ull}},
{{13712119492189888093ull, 8619161218808868122ull,
  14990556092501992306ull, 924410076900308215ull}},
{{13810470342663708589ull, 5413181058503683947ull,
  2998111218500398461ull, 184882015380061643ull}},
{{9174196611617865561ull, 10826362117007367895ull,
  5996222437000796922ull, 369764030760123286ull}},
{{18348393223235731121ull, 3205980160305184174ull,
  11992444874001593845ull, 739528061520246572ull}},
{{7359027459389056548ull, 8019893661544857481ull,
  9777186604284139415ull, 147905612304049314ull}},
{{14718054918778113095ull, 16039787323089714962ull,
  1107629134858727214ull, 295811224608098629ull}},
{{10989365763846674573ull, 13632830572469878309ull,
  2215258269717454429ull, 591622449216197258ull}},
{{3531987453983797530ull, 8818917071230205003ull,
  4430516539434908859ull, 1183244898432394516ull}},
{{11774443935022490476ull, 1763783414246041000ull,
  4575452122628892095ull, 236648979686478903ull}},
{{5102143796335429336ull, 3527566828492082001ull,
  9150904245257784190ull, 473297959372957806ull}},
{{10204287592670858671ull, 7055133656984164002ull,
  18301808490515568380ull, 946595918745915612ull}},
{{16798252777501813027ull, 8789724360880653446ull,
  11039059327586934322ull, 189319183749183122ull}},
{{15149761481294074438ull, 17579448721761306893ull,
  3631374581464317028ull, 378638367498366245ull}},
{{11852778888878597260ull, 16712153369813062171ull,
  7262749162928634057ull, 757276734996732490ull}},
{{13438602222001450422ull, 10721128303446433080ull,
  1452549832585726811ull, 151455346999346498ull}},
{{8430460370293349228ull, 2995512533183314545ull,
  2905099665171453623ull, 302910693998692996ull}},
{{16860920740586698455ull, 5991025066366629090ull,
  5810199330342907246ull, 605821387997385992ull}},
{{15275097407463845293ull, 11982050132733258181ull,
  11620398660685814492ull, 1211642775994771984ull}},
{{10433717110976589705ull, 6085758841288561959ull,
  17081474991104804191ull, 242328555198954396ull}},
{{2420690148243627794ull, 12171517682577123919ull,
  15716205908500056766ull, 484657110397908793ull}},
{{4841380296487255588ull, 5896291291444696222ull,
  12985667743290561917ull, 969314220795817587ull}},
{{4657624874039361441ull, 15936653517256580537ull,
  9975831178141933029ull, 193862844159163517ull}},
{{9315249748078722882ull, 13426562960803609458ull,
  1504918282574314443ull, 387725688318327035ull}},
{{183755422447894147ull, 8406381847897667301ull, 3009836565148628887ull,
  775451376636654070ull}},
{{11104797528715309799ull, 9059973999063354106ull,
  601967313029725777ull, 155090275327330814ull}},
{{3762850983721067982ull, 18119947998126708213ull,
  1203934626059451554ull, 310180550654661628ull}},
{{7525701967442135964ull, 17793151922543864810ull,
  2407869252118903109ull, 620361101309323256ull}},
{{15051403934884271928ull, 17139559771378178004ull,
  4815738504237806219ull, 1240722202618646512ull}},
{{3010280786976854386ull, 7117260769017545924ull,
  8341845330331381890ull, 248144440523729302ull}},
{{6020561573953708771ull, 14234521538035091848ull,
  16683690660662763780ull, 496288881047458604ull}},
{{12041123147907417542ull, 10022299002360632080ull,
  14920637247615975945ull, 992577762094917209ull}},
{{17165619888549124802ull, 16761855059439767708ull,
  17741522708490836481ull, 198515552418983441ull}},
{{15884495703388697987ull, 15076966045169983801ull,
  17036301343272121347ull, 397031104837966883ull}},
{{13322247333067844357ull, 11707188016630415987ull,
  15625858612834691079ull, 794062209675933767ull}},
{{13732495910839299841ull, 6030786418067993520ull,
  10503869352050758862ull, 158812441935186753ull}},
{{9018247747969048066ull, 12061572836135987041ull,
  2560994630391966108ull, 317624883870373507ull}},
{{18036495495938096132ull, 5676401598562422466ull,
  5121989260783932217ull, 635249767740747014ull}},
{{17626246918166640648ull, 11352803197124844933ull,
  10243978521567864434ull, 1270499535481494028ull}},
{{3525249383633328130ull, 9649258268908789633ull,
  13116842148539303856ull, 254099907096298805ull}},
{{7050498767266656259ull, 851772464108027650ull, 7786940223369056097ull,
  508199814192597611ull}},
{{14100997534533312518ull, 1703544928216055300ull,
  15573880446738112194ull, 1016399628385195222ull}},
{{6509548321648572827ull, 4030057800385121383ull,
  10493473718831443085ull, 203279925677039044ull}},
{{13019096643297145654ull, 8060115600770242766ull,
  2540203363953334554ull, 406559851354078089ull}},
{{7591449212884739692ull, 16120231201540485533ull,
  5080406727906669108ull, 813119702708156178ull}},
{{16275685101544589232ull, 6913395055050007429ull,
  12084127789807064791ull, 162623940541631235ull}},
{{14104626129379626847ull, 13826790110100014859ull,
  5721511505904577966ull, 325247881083262471ull}},
{{9762508185049702077ull, 9206836146490478103ull,
  11443023011809155933ull, 650495762166524942ull}},
{{13020548081235671385ull, 1841367229298095620ull,
  9667302231845651833ull, 130099152433304988ull}},
{{7594352088761791154ull, 3682734458596191241ull, 887860389981752050ull,
  260198304866609977ull}},
{{15188704177523582308ull, 7365468917192382482ull,
  1775720779963504100ull, 520396609733219954ull}},
{{11930664281337612999ull, 14730937834384764965ull,
  3551441559927008200ull, 1040793219466439908ull}},
{{13454179300493253570ull, 14014234011102683962ull,
  11778334756211132609ull, 208158643893287981ull}},
{{8461614527276955523ull, 9581723948495816309ull,
  5109925438712713603ull, 416317287786575963ull}},
{{16923229054553911046ull, 716703823282081002ull,
  10219850877425427207ull, 832634575573151926ull}},
{{3384645810910782210ull, 11211387208882147170ull,
  5733318990226995764ull, 166526915114630385ull}},
{{6769291621821564419ull, 3976030344054742724ull,
  11466637980453991529ull, 333053830229260770ull}},
{{13538583243643128837ull, 7952060688109485448ull,
  4486531887198431442ull, 666107660458521541ull}},
{{6397065463470536091ull, 12658458581847628059ull,
  4586655192181596611ull, 133221532091704308ull}},
{{12794130926941072181ull, 6870173089985704502ull,
  9173310384363193223ull, 266443064183408616ull}}
};

static const UINT128 coefflimits_bid64[] = { {{10000000000000000ull, 0ull}},
{{2000000000000000ull, 0ull}},
{{400000000000000ull, 0ull}},
{{80000000000000ull, 0ull}},
{{16000000000000ull, 0ull}},
{{3200000000000ull, 0ull}},
{{640000000000ull, 0ull}},
{{128000000000ull, 0ull}},
{{25600000000ull, 0ull}},
{{5120000000ull, 0ull}},
{{1024000000ull, 0ull}},
{{204800000ull, 0ull}},
{{40960000ull, 0ull}},
{{8192000ull, 0ull}},
{{1638400ull, 0ull}},
{{327680ull, 0ull}},
{{65536ull, 0ull}},
{{13107ull, 0ull}},
{{2621ull, 0ull}},
{{524ull, 0ull}},
{{104ull, 0ull}},
{{20ull, 0ull}},
{{4ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}},
{{0ull, 0ull}}
};

// **********************************************************************

static const UINT128 coefflimits_bid128[] =
  { {{4003012203950112768ull, 542101086242752ull}},
{{8179300070273843200ull, 108420217248550ull}},
{{1635860014054768640ull, 21684043449710ull}},
{{327172002810953728ull, 4336808689942ull}},
{{7444132030046011392ull, 867361737988ull}},
{{12556872850234933248ull, 173472347597ull}},
{{9890072199530807296ull, 34694469519ull}},
{{16735409698873802752ull, 6938893903ull}},
{{14415128384000491520ull, 1387778780ull}},
{{2883025676800098304ull, 277555756ull}},
{{4265953950101929984ull, 55511151ull}},
{{4542539604762296320ull, 11102230ull}},
{{908507920952459264ull, 2220446ull}},
{{3871050398932402176ull, 444089ull}},
{{15531605338754121728ull, 88817ull}},
{{10485018697234644992ull, 17763ull}},
{{13165050183672659968ull, 3552ull}},
{{10011707666218352640ull, 710ull}},
{{2002341533243670528ull, 142ull}},
{{7779165936132554752ull, 28ull}},
{{12623879631452241920ull, 5ull}},
{{2524775926290448384ull, 1ull}},
{{4194304000000000000ull, 0ull}},
{{838860800000000000ull, 0ull}},
{{167772160000000000ull, 0ull}},
{{33554432000000000ull, 0ull}},
{{6710886400000000ull, 0ull}},
{{1342177280000000ull, 0ull}},
{{268435456000000ull, 0ull}},
{{53687091200000ull, 0ull}},
{{10737418240000ull, 0ull}},
{{2147483648000ull, 0ull}},
{{429496729600ull, 0ull}},
{{85899345920ull, 0ull}},
{{17179869184ull, 0ull}},
{{3435973836ull, 0ull}},
{{687194767ull, 0ull}},
{{137438953ull, 0ull}},
{{27487790ull, 0ull}},
{{5497558ull, 0ull}},
{{1099511ull, 0ull}},
{{219902ull, 0ull}},
{{43980ull, 0ull}},
{{8796ull, 0ull}},
{{1759ull, 0ull}},
{{351ull, 0ull}},
{{70ull, 0ull}},
{{14ull, 0ull}},
{{2ull, 0ull}}
};

// These are the different, bipartite, tables for conversion to bid128
// Using the same approach, the tables become extremely large
// And things are more amenable here since there's never overflow/underflow

static const UINT256 outertable_sig[] =
  { {{16710528681477587410ull, 1427578414467097172ull,
      17470362193306814444ull, 17633471421292828081ull}},
{{15880413049339289368ull, 3169162604521042544ull,
  12421848348224877000ull, 10175591536883283100ull}},
{{728324709502741634ull, 5487234822932806241ull,
  14277366029702694882ull, 11743877385420605756ull}},
{{5270439690693945016ull, 5335305964155802506ull,
  4731239033579481048ull, 13553871098685738146ull}},
{{15770926697301461842ull, 17478494563481727979ull,
  12172666691698088779ull, 15642825255298684824ull}},
{{6706015564063194464ull, 9524484409513358023ull,
  3584925281718916951ull, 18053733887991431306ull}},
{{11970480524618434228ull, 11405570099769256704ull,
  15462553542164535233ull, 10418108684938663938ull}},
{{6786207772287397676ull, 2319456072422691258ull,
  3306628541457879036ull, 12023771840725819358ull}},
{{11981052113010165492ull, 3504057943690712651ull,
  1876153621163772099ull, 13876903538819465956ull}},
{{9393164661428669080ull, 12786250932199773041ull,
  1469280998340568779ull, 16015644206874417279ull}},
{{16924685242153318850ull, 18017830257179898541ull,
  8443357802200517361ull, 9242006282008467740ull}},
{{10964968671057563176ull, 5039440430669711539ull,
  5426243050445487622ull, 10666405798403203685ull}},
{{10955754838860298353ull, 7697974614691938479ull,
  5802604364043796934ull, 12310337083160321132ull}},
{{2020816881108765590ull, 11827301330378587775ull,
  11428107909474365520ull, 14207634883319258514ull}},
{{17088069107880998350ull, 4283872614129133981ull,
  3596834484036483711ull, 16397348635874181367ull}},
{{17878879927905357932ull, 16765016545576715295ull,
  16689816215723394984ull, 9462273083962776199ull}},
{{13121733289080687293ull, 18283685101712419716ull,
  16276586284347626380ull, 10920620632484725600ull}},
{{17814811358648632259ull, 13245640156276305425ull,
  16363965810173909683ull, 12603732099085151178ull}},
{{4756697993914874888ull, 11508234184157253656ull,
  5137266535116401279ull, 14546248621894116172ull}},
{{5318236458935323174ull, 6543830884414701181ull,
  6453355338781772809ull, 16788150311867950084ull}},
{{6485710970464102310ull, 9658720758000782538ull,
  1405691438411884535ull, 9687789553853107178ull}},
{{16668567668910748869ull, 7353216905500064137ull,
  16398637311140236340ull, 11180894225541718927ull}},
{{10250898639443956700ull, 17209112682100433509ull,
  10404161081088486903ull, 12904119664018836844ull}},
{{8190593687966138954ull, 9395575747272723417ull,
  5270639644724875979ull, 14892932617404296676ull}},
{{16096765186944088526ull, 5812137315202163815ull,
  13827109944906121794ull, 17188266051577202911ull}},
{{13125058493821651226ull, 13878096157524874998ull,
  7819283672493662452ull, 9918680808189048078ull}},
{{10784977039313888136ull, 7095114120404217728ull,
  5980679097159643429ull, 11447370977331402726ull}},
{{18074025829186132275ull, 1141984379626550674ull,
  7557580538320593620ull, 13211666432945230258ull}},
{{884127375074722974ull, 5630658839879210216ull, 8888788495242174599ull,
  15247879210087606793ull}},
{{14794677677148287412ull, 15991859528909753139ull,
  2255166953101703543ull, 17597917839164816062ull}},
{{11781503818372409883ull, 16487377189598053250ull,
  1614766483381505408ull, 10155074945409931597ull}},
{{13901203812957478350ull, 17671725616207330354ull,
  9774501520532043416ull, 11720198729122693309ull}},
{{2841277750318224700ull, 62614824260888948ull, 7875289095414864909ull,
  13526543032773672749ull}},
{{4177215723684349918ull, 5549883551398310595ull,
  6548711429670794128ull, 15611285324269742443ull}},
{{10113135653152274419ull, 1238174514434849746ull,
  15010187426055142985ull, 18017332949391848572ull}},
{{15332868447221136909ull, 16659234357027498643ull,
  8156814090647504084ull, 10397103116953834012ull}},
{{15245187402216469644ull, 12129929088655149192ull,
  9861651730211963150ull, 11999528845718521943ull}},
{{11169863271521019024ull, 11690833164181629132ull,
  18055231442152805128ull, 13848924157002783033ull}},
{{5681139181384005971ull, 16315598095635316730ull,
  12429006944274865118ull, 15983352577617880224ull}},
{{0ull, 0ull, 0ull, 9223372036854775808ull}},
{{847738094735128551ull, 159020156881263929ull, 14298703881791668535ull,
  10644899600020376799ull}},
{{12571812103339493257ull, 9592188640606484874ull,
  15977522551232326327ull, 12285516299433008781ull}},
{{11255846670375652269ull, 16219642565822741785ull,
  1164180458167399492ull, 14178988662640388631ull}},
{{4768530159026621925ull, 11269558331910606010ull,
  14728279675391465720ull, 16364287392998134214ull}},
{{10435171899994305314ull, 3358688235984080491ull,
  10873005112892106269ull, 9443194724678278428ull}},
{{9001934648837042518ull, 12742858465034581069ull,
  7821978264675184102ull, 10898601872067700364ull}},
{{17621267265258286727ull, 4697230115438671198ull,
  9730745556445007669ull, 12578319756070083561ull}},
{{15489206033570711069ull, 5939008219696634639ull,
  7281543418588385486ull, 14516919669433371671ull}},
{{5582382164278045428ull, 1021128504191590019ull,
  15859662269683349667ull, 16754301112998936544ull}},
{{13306060077138970688ull, 17077419079040409017ull,
  602300193611639289ull, 9668256495766433483ull}},
{{16144900726383728979ull, 6332437060439625781ull,
  3394061071468721991ull, 11158350687084940805ull}},
{{841527738022137013ull, 8576187517129556015ull, 4780478900157118356ull,
  12878101662951253988ull}},
{{6209518431268106959ull, 6563228687006195825ull,
  8680557599339190037ull, 14862904661462481806ull}},
{{13777918056850427098ull, 13980713634323581067ull,
  3260730320187665275ull, 17153610117183879308ull}},
{{14026398967643035423ull, 16044002814696042637ull,
  13563648246219923183ull, 9898682214361989196ull}},
{{8580849201736980837ull, 7652064075251385167ull,
  12055336643618066002ull, 11424290153682525668ull}},
{{7703450277136593061ull, 30939122015382097ull, 1733744904199768989ull,
  13185028339041359606ull}},
{{16645858086931268484ull, 268706294728574543ull,
  4562366333509913804ull, 15217135591158481007ull}},
{{1535817262145462730ull, 16249574698204674087ull,
  1726174694286833848ull, 17562435942139069664ull}},
{{1327779613951528273ull, 12607890553358950732ull,
  6773080245737622022ull, 10134599720625107110ull}},
{{10146669700226523625ull, 6816618733538609533ull,
  17338427607494047961ull, 11696567815043613180ull}},
{{1218646606393179524ull, 8053984438814192242ull,
  5512554737593155320ull, 13499270067222312908ull}},
{{8529816360522570005ull, 2898610325645650649ull,
  12799329154556421864ull, 15579808985797328396ull}},
{{8976626101186384018ull, 17306366585957786234ull,
  18289272351796647404ull, 17981005404381600394ull}},
{{13259258789938866699ull, 3853966764738768487ull,
  3962898110873089456ull, 10376139901559067117ull}},
{{899097863387258947ull, 18205835716688941338ull,
  5828614502416977816ull, 11975334730781032005ull}},
{{6805696657844643720ull, 11269663690239600300ull,
  15713752492130876427ull, 13821001188766021149ull}},
{{1390669429605106863ull, 9874674503958832077ull,
  10784451562526769943ull, 15951126056533488631ull}},
{{5704986635434998471ull, 13359511205918707297ull,
  13484363347568202582ull, 18409550726197325520ull}},
{{8031416311578790746ull, 15203770801091158414ull,
  10108131133879485063ull, 10623436763626360685ull}},
{{14540970352057967818ull, 10823414366732926995ull,
  16152175176069010361ull, 12260745560745135745ull}},
{{15950896424073439808ull, 7311065895593189991ull,
  14504991862333000338ull, 14150400200058902426ull}},
{{5978819348613013533ull, 5596367464999577452ull,
  9804643584580705193ull, 16331292810031855499ull}},
{{8586457898440847299ull, 6018330550275346810ull,
  7956755163056284140ull, 9424154832238877876ull}},
{{1114429888821394320ull, 1760611426277998851ull,
  9839409379426382903ull, 10876627507095459665ull}},
{{7554605751361075608ull, 6504275622057553570ull,
  9148491728899045148ull, 12552958650829068784ull}},
{{9208049516541304162ull, 15518058123431536615ull,
  17563500997894963674ull, 14487649851631658771ull}},
{{1484107481346855224ull, 16657394431011607502ull,
  12009304572091620947ull, 16720520162760224108ull}},
{{14325586681310127114ull, 11250726580617083666ull,
  2403442209646777766ull, 9648762821313776241ull}},
{{14963893077912294692ull, 3450059817568720983ull,
  15313875826588494017ull, 11135852602159508258ull}}
};

static const UINT256 innertable_sig[] =
  { {{1014026100135492416ull, 3035406636157676337ull,
      4549648098962661924ull, 12141680576410806693ull}},
{{5879218643596753424ull, 3794258295197095421ull,
  10298746142130715309ull, 15177100720513508366ull}},
{{5980354661461664842ull, 4677254443711878590ull,
  1825030320404309164ull, 9485687950320942729ull}},
{{16698815363681856860ull, 5846568054639848237ull,
  6892973918932774359ull, 11857109937901178411ull}},
{{7038461149320157363ull, 2696524049872422393ull,
  4004531380238580045ull, 14821387422376473014ull}},
{{15928253264393568112ull, 3991170540383957947ull,
  16337890167931276240ull, 9263367138985295633ull}},
{{15298630562064572236ull, 4988963175479947434ull,
  6587304654631931588ull, 11579208923731619542ull}},
{{9899916165725939487ull, 6236203969349934293ull,
  17457502855144690293ull, 14474011154664524427ull}},
{{16986581225584812263ull, 12406940980114805770ull,
  17210192550503474962ull, 18092513943330655534ull}},
{{15228299284417895569ull, 12366024130999141510ull,
  6144684325637283947ull, 11307821214581659709ull}},
{{9812002068667593653ull, 10845844145321538984ull,
  12292541425473992838ull, 14134776518227074636ull}},
{{12265002585834492066ull, 4333933144797147922ull,
  15365676781842491048ull, 17668470647783843295ull}},
{{12277312634573945445ull, 2708708215498217451ull,
  16521077016292638761ull, 11042794154864902059ull}},
{{10734954774790043902ull, 7997571287800159718ull,
  16039660251938410547ull, 13803492693581127574ull}},
{{4195321431632779070ull, 5385278091322811744ull,
  10826203278068237376ull, 17254365866976409468ull}},
{{2622075894770486919ull, 3365798807076757340ull,
  15989749085647424168ull, 10783978666860255917ull}},
{{3277594868463108648ull, 4207248508845946675ull,
  6152128301777116498ull, 13479973333575319897ull}},
{{17932051640861049522ull, 14482432672912209151ull,
  12301846395648783526ull, 16849966666969149871ull}},
{{18125061303179237808ull, 4439834402142742815ull,
  14606183024921571560ull, 10531229166855718669ull}},
{{18044640610546659355ull, 5549793002678428519ull,
  4422670725869800738ull, 13164036458569648337ull}},
{{17944114744755936290ull, 16160613290202811457ull,
  10140024425764638826ull, 16455045573212060421ull}},
{{4297542687831378326ull, 14712069324804145065ull,
  8643358275316593218ull, 10284403483257537763ull}},
{{9983614378216610811ull, 9166714619150405523ull,
  6192511825718353619ull, 12855504354071922204ull}},
{{7867831954343375609ull, 6846707255510619000ull,
  7740639782147942024ull, 16069380442589902755ull}},
{{4917394971464609756ull, 4279192034694136875ull,
  2532056854628769813ull, 10043362776618689222ull}},
{{1535057695903374291ull, 9960676061795058998ull,
  12388443105140738074ull, 12554203470773361527ull}},
{{11142194156733993672ull, 3227473040389047939ull,
  10873867862998534689ull, 15692754338466701909ull}},
{{4658028338745052093ull, 13546385696311624722ull,
  9102010423587778132ull, 9807971461541688693ull}},
{{15045907460286090924ull, 16932982120389530902ull,
  15989199047912110569ull, 12259964326927110866ull}},
{{9584012288502837847ull, 7331169595204749916ull,
  10763126773035362404ull, 15324955408658888583ull}},
{{15213379717169049462ull, 13805353033857744505ull,
  13644483260788183358ull, 9578097130411805364ull}},
{{5181666591179148116ull, 8033319255467404824ull,
  17055604075985229198ull, 11972621413014756705ull}},
{{6477083238973935145ull, 818277032479480222ull, 7484447039699372786ull,
  14965776766268445882ull}},
{{17883235079640873178ull, 5123109163727063042ull,
  9289465418239495895ull, 9353610478917778676ull}},
{{13130671812696315664ull, 1792200436231440899ull,
  11611831772799369869ull, 11692013098647223345ull}},
{{11801653747443006676ull, 6851936563716689028ull,
  679731660717048624ull, 14615016373309029182ull}},
{{14752067184303758345ull, 8564920704645861285ull,
  10073036612751086588ull, 18268770466636286477ull}},
{{11525884999403542918ull, 14576447477258439111ull,
  8601490892183123069ull, 11417981541647679048ull}},
{{9795670230827040743ull, 4385501291290885177ull,
  10751863615228903837ull, 14272476927059598810ull}},
{{16856273806961188833ull, 10093562632540994375ull,
  4216457482181353988ull, 17840596158824498513ull}},
{{17452700156991824877ull, 15531848682192897292ull,
  14164500972431816002ull, 11150372599265311570ull}},
{{3369131122530229480ull, 10191438815886345808ull,
  8482254178684994195ull, 13937965749081639463ull}},
{{4211413903162786849ull, 8127612501430544356ull,
  5991131704928854840ull, 17422457186352049329ull}},
{{11855505726331517589ull, 5079757813394090222ull,
  15273672361649004035ull, 10889035741470030830ull}},
{{5596010121059621178ull, 1738011248315224874ull,
  9868718415206479236ull, 13611294676837538538ull}},
{{16218384688179302281ull, 2172514060394031092ull,
  3112525982153323237ull, 17014118346046923173ull}},
{{913118393257288118ull, 3663664296959963385ull, 4251171748059520975ull,
  10633823966279326983ull}},
{{5753084009998998051ull, 18414638426482117943ull,
  702278666647013314ull, 13292279957849158729ull}},
{{2579668994071359659ull, 13794925996247871621ull,
  5489534351736154547ull, 16615349947311448411ull}},
{{3918136130508293739ull, 6315985738441225811ull,
  1125115960621402640ull, 10384593717069655257ull}},
{{285984144707979270ull, 7894982173051532264ull, 6018080969204141204ull,
  12980742146337069071ull}},
{{357480180884974087ull, 9868727716314415330ull, 2910915193077788601ull,
  16225927682921336339ull}},
{{4835111131480496709ull, 17697169868764979341ull,
  17960223060169475539ull, 10141204801825835211ull}},
{{10655574932778008790ull, 17509776317528836272ull,
  17838592806784456520ull, 12676506002282294014ull}},
{{13319468665972510987ull, 3440476323201493724ull,
  13074868971625794843ull, 15845632502852867518ull}},
{{17548039953087595175ull, 18291198766496791241ull,
  3560107088838733872ull, 9903520314283042199ull}},
{{8099991886077330257ull, 4417254384411437436ull,
  18285191916330581053ull, 12379400392853802748ull}},
{{10124989857596662821ull, 10133253998941684699ull,
  4409745821703674700ull, 15474250491067253436ull}},
{{4022275651784220311ull, 15556655786193328745ull,
  11979463175419572495ull, 9671406556917033397ull}},
{{9639530583157663293ull, 14834133714314273027ull,
  1139270913992301907ull, 12089258196146291747ull}},
{{7437727210519691212ull, 13930981124465453380ull,
  15259146697772541096ull, 15111572745182864683ull}},
{{13871951543429582816ull, 8706863202790908362ull,
  7231123676894144233ull, 9444732965739290427ull}},
{{8116567392432202712ull, 15495265021916023357ull,
  4427218577690292387ull, 11805916207174113034ull}},
{{14757395258967641293ull, 14757395258967641292ull,
  14757395258967641292ull, 14757395258967641292ull}},
{{0ull, 0ull, 0ull, 9223372036854775808ull}},
{{0ull, 0ull, 0ull, 11529215046068469760ull}},
{{0ull, 0ull, 0ull, 14411518807585587200ull}},
{{0ull, 0ull, 0ull, 18014398509481984000ull}},
{{0ull, 0ull, 0ull, 11258999068426240000ull}},
{{0ull, 0ull, 0ull, 14073748835532800000ull}},
{{0ull, 0ull, 0ull, 17592186044416000000ull}},
{{0ull, 0ull, 0ull, 10995116277760000000ull}},
{{0ull, 0ull, 0ull, 13743895347200000000ull}},
{{0ull, 0ull, 0ull, 17179869184000000000ull}},
{{0ull, 0ull, 0ull, 10737418240000000000ull}},
{{0ull, 0ull, 0ull, 13421772800000000000ull}},
{{0ull, 0ull, 0ull, 16777216000000000000ull}},
{{0ull, 0ull, 0ull, 10485760000000000000ull}},
{{0ull, 0ull, 0ull, 13107200000000000000ull}},
{{0ull, 0ull, 0ull, 16384000000000000000ull}},
{{0ull, 0ull, 0ull, 10240000000000000000ull}},
{{0ull, 0ull, 0ull, 12800000000000000000ull}},
{{0ull, 0ull, 0ull, 16000000000000000000ull}},
{{0ull, 0ull, 0ull, 10000000000000000000ull}},
{{0ull, 0ull, 0ull, 12500000000000000000ull}},
{{0ull, 0ull, 0ull, 15625000000000000000ull}},
{{0ull, 0ull, 0ull, 9765625000000000000ull}},
{{0ull, 0ull, 0ull, 12207031250000000000ull}},
{{0ull, 0ull, 0ull, 15258789062500000000ull}},
{{0ull, 0ull, 0ull, 9536743164062500000ull}},
{{0ull, 0ull, 0ull, 11920928955078125000ull}},
{{0ull, 0ull, 0ull, 14901161193847656250ull}},
{{0ull, 0ull, 4611686018427387904ull, 9313225746154785156ull}},
{{0ull, 0ull, 5764607523034234880ull, 11641532182693481445ull}},
{{0ull, 0ull, 11817445422220181504ull, 14551915228366851806ull}},
{{0ull, 0ull, 5548434740920451072ull, 18189894035458564758ull}},
{{0ull, 0ull, 17302829768357445632ull, 11368683772161602973ull}},
{{0ull, 0ull, 7793479155164643328ull, 14210854715202003717ull}},
{{0ull, 0ull, 14353534962383192064ull, 17763568394002504646ull}},
{{0ull, 0ull, 4359273333062107136ull, 11102230246251565404ull}},
{{0ull, 0ull, 5449091666327633920ull, 13877787807814456755ull}},
{{0ull, 0ull, 2199678564482154496ull, 17347234759768070944ull}},
{{0ull, 0ull, 1374799102801346560ull, 10842021724855044340ull}},
{{0ull, 0ull, 1718498878501683200ull, 13552527156068805425ull}},
{{0ull, 0ull, 6759809616554491904ull, 16940658945086006781ull}},
{{0ull, 0ull, 6530724019560251392ull, 10587911840678754238ull}},
{{0ull, 0ull, 17386777061305090048ull, 13234889800848442797ull}},
{{0ull, 0ull, 7898413271349198848ull, 16543612251060553497ull}},
{{0ull, 0ull, 16465723340661719040ull, 10339757656912845935ull}},
{{0ull, 0ull, 15970468157399760896ull, 12924697071141057419ull}},
{{0ull, 0ull, 15351399178322313216ull, 16155871338926321774ull}},
{{0ull, 0ull, 4982938468024057856ull, 10097419586828951109ull}},
{{0ull, 0ull, 10840359103457460224ull, 12621774483536188886ull}},
{{0ull, 0ull, 4327076842467049472ull, 15777218104420236108ull}},
{{0ull, 0ull, 11927795063396681728ull, 9860761315262647567ull}},
{{0ull, 0ull, 10298057810818464256ull, 12325951644078309459ull}},
{{0ull, 0ull, 8260886245095692416ull, 15407439555097886824ull}},
{{0ull, 0ull, 5163053903184807760ull, 9629649721936179265ull}},
{{0ull, 0ull, 11065503397408397604ull, 12037062152420224081ull}},
{{0ull, 0ull, 18443565265187884909ull, 15046327690525280101ull}},
{{0ull, 2305843009213693952ull, 13833071299956122020ull,
  9403954806578300063ull}},
{{0ull, 2882303761517117440ull, 12679653106517764621ull,
  11754943508222875079ull}},
{{0ull, 8214565720323784704ull, 11237880364719817872ull,
  14693679385278593849ull}},
{{0ull, 10268207150404730880ull, 212292400617608628ull,
  18367099231598242312ull}},
{{0ull, 15641001505857732608ull, 132682750386005392ull,
  11479437019748901445ull}},
{{0ull, 1104507808612614144ull, 4777539456409894645ull,
  14349296274686126806ull}},
{{0ull, 5992320779193155584ull, 15195296357367144114ull,
  17936620343357658507ull}},
{{0ull, 8356886505423110144ull, 7191217214140771119ull,
  11210387714598536567ull}}
};

static const int outertable_exp[] = { -16839,
  -16413,
  -15988,
  -15563,
  -15138,
  -14713,
  -14287,
  -13862,
  -13437,
  -13012,
  -12586,
  -12161,
  -11736,
  -11311,
  -10886,
  -10460,
  -10035,
  -9610,
  -9185,
  -8760,
  -8334,
  -7909,
  -7484,
  -7059,
  -6634,
  -6208,
  -5783,
  -5358,
  -4933,
  -4508,
  -4082,
  -3657,
  -3232,
  -2807,
  -2382,
  -1956,
  -1531,
  -1106,
  -681,
  -255,
  170,
  595,
  1020,
  1445,
  1871,
  2296,
  2721,
  3146,
  3571,
  3997,
  4422,
  4847,
  5272,
  5697,
  6123,
  6548,
  6973,
  7398,
  7823,
  8249,
  8674,
  9099,
  9524,
  9949,
  10375,
  10800,
  11225,
  11650,
  12075,
  12501,
  12926,
  13351,
  13776,
  14202,
  14627,
  15052,
  15477,
  15902,
  16328,
  16753,
};

static const int innertable_exp[] = { -468,
  -465,
  -461,
  -458,
  -455,
  -451,
  -448,
  -445,
  -442,
  -438,
  -435,
  -432,
  -428,
  -425,
  -422,
  -418,
  -415,
  -412,
  -408,
  -405,
  -402,
  -398,
  -395,
  -392,
  -388,
  -385,
  -382,
  -378,
  -375,
  -372,
  -368,
  -365,
  -362,
  -358,
  -355,
  -352,
  -349,
  -345,
  -342,
  -339,
  -335,
  -332,
  -329,
  -325,
  -322,
  -319,
  -315,
  -312,
  -309,
  -305,
  -302,
  -299,
  -295,
  -292,
  -289,
  -285,
  -282,
  -279,
  -275,
  -272,
  -269,
  -265,
  -262,
  -259,
  -255,
  -252,
  -249,
  -246,
  -242,
  -239,
  -236,
  -232,
  -229,
  -226,
  -222,
  -219,
  -216,
  -212,
  -209,
  -206,
  -202,
  -199,
  -196,
  -192,
  -189,
  -186,
  -182,
  -179,
  -176,
  -172,
  -169,
  -166,
  -162,
  -159,
  -156,
  -153,
  -149,
  -146,
  -143,
  -139,
  -136,
  -133,
  -129,
  -126,
  -123,
  -119,
  -116,
  -113,
  -109,
  -106,
  -103,
  -99,
  -96,
  -93,
  -89,
  -86,
  -83,
  -79,
  -76,
  -73,
  -69,
  -66,
  -63,
  -60,
  -56,
  -53,
  -50,
  -46,
};

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
bid32_to_binary32 (float *pres, UINT32 * px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  UINT32 x = *px;
#else
float
bid32_to_binary32 (UINT32 x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif

  UINT64 c_prov;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

  unpack_bid32 (x, s, e, k, (c.w[1]), return_binary32_zero (s),
                return_binary32_inf (s), return_binary32_nan);

// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-24=89
// Thus a shift of 25 given that we've already upacked in c.w[1]

  c.w[1] = c.w[1] << 25;
  c.w[0] = 0;
  k = k + 89;

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is e >= ceil(128 * log_10(2)) = 39

  if (e >= 39) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary32_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 115) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -80)
    e = -80;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary32 + 80)[e];
  e_out = (exponents_binary32 + 80)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary32 + 80)[e];
  } else {
    r = (multipliers2_binary32 + 80)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further
    if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 26)
      d = 26;
    e_out = 1;
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d);
  }
  c_prov = z.w[5];

// Round using round-sticky words
// If we spill into the next binade, correct
// Flag underflow where it may be needed even for |result| = SNN

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == (1ull << 24)) {
      c_prov = 1ull << 23;
      e_out = e_out + 1;
    } else if ((c_prov == (1ull << 23)) && (e_out == 1)) {
      if ((((rnd_mode & 3) == 0) && (z.w[4] < (3ull << 62))) ||
          ((rnd_mode + (s & 1) == 2) && (z.w[4] < (1ull << 63))))
        *pfpsf |= UNDERFLOW_EXCEPTION;
    }
  }
// Check for overflow

  if (e_out >= 255) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary32_ovf (s);
  }
// Modify exponent for a tiny result, otherwise lop the implicit bit

  if (c_prov < (1ull << 23))
    e_out = 0;
  else
    c_prov = c_prov & ((1ull << 23) - 1);

// Set the inexact and underflow flag as appropriate

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary32 (s, e_out, c_prov);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
bid64_to_binary32 (float *pres, UINT64 * px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  UINT64 x = *px;
#else
float
bid64_to_binary32 (UINT64 x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif

  UINT64 c_prov;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

  unpack_bid64 (x, s, e, k, (c.w[0]), return_binary32_zero (s),
                return_binary32_inf (s), return_binary32_nan);
  c.w[1] = 0;

// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-54=59

  sll128_short (c.w[1], c.w[0], 59);
  k = k + 59;

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is e >= ceil(128 * log_10(2)) = 39

  if (e >= 39) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary32_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 115) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -80)
    e = -80;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary32 + 80)[e];
  e_out = (exponents_binary32 + 80)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary32 + 80)[e];
  } else {
    r = (multipliers2_binary32 + 80)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further
    if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 26)
      d = 26;
    e_out = 1;
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d);
  }
  c_prov = z.w[5];

// Round using round-sticky words
// If we spill into the next binade, correct
// Flag underflow where it may be needed even for |result| = SNN

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == (1ull << 24)) {
      c_prov = 1ull << 23;
      e_out = e_out + 1;
    } else if ((c_prov == (1ull << 23)) && (e_out == 1)) {
      if ((((rnd_mode & 3) == 0) && (z.w[4] < (3ull << 62))) ||
          ((rnd_mode + (s & 1) == 2) && (z.w[4] < (1ull << 63))))
        *pfpsf |= UNDERFLOW_EXCEPTION;
    }
  }
// Check for overflow

  if (e_out >= 255) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary32_ovf (s);
  }
// Modify exponent for a tiny result, otherwise lop the implicit bit

  if (c_prov < (1ull << 23))
    e_out = 0;
  else
    c_prov = c_prov & ((1ull << 23) - 1);

// Set the inexact and underflow flag as appropriate

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary32 (s, e_out, c_prov);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
bid128_to_binary32 (float *pres, UINT128 * px
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
  UINT128 x = *px;
#else
float
bid128_to_binary32 (UINT128 x
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
#endif

  UINT64 c_prov;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

  unpack_bid128 (x, s, e, k, c, return_binary32_zero (s),
                 return_binary32_inf (s), return_binary32_nan);

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is e >= ceil(128 * log_10(2)) = 39

  if (e >= 39) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary32_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 115) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -80)
    e = -80;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary32 + 80)[e];
  e_out = (exponents_binary32 + 80)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary32 + 80)[e];
  } else {
    r = (multipliers2_binary32 + 80)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further
    if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 26)
      d = 26;
    e_out = 1;
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d);
  }
  c_prov = z.w[5];

// Round using round-sticky words
// If we spill into the next binade, correct
// Flag underflow where it may be needed even for |result| = SNN

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == (1ull << 24)) {
      c_prov = 1ull << 23;
      e_out = e_out + 1;
    } else if ((c_prov == (1ull << 23)) && (e_out == 1)) {
      if ((((rnd_mode & 3) == 0) && (z.w[4] < (3ull << 62))) ||
          ((rnd_mode + (s & 1) == 2) && (z.w[4] < (1ull << 63))))
        *pfpsf |= UNDERFLOW_EXCEPTION;
    }
  }
// Check for overflow

  if (e_out >= 255) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary32_ovf (s);
  }
// Modify exponent for a tiny result, otherwise lop the implicit bit

  if (c_prov < (1ull << 23))
    e_out = 0;
  else
    c_prov = c_prov & ((1ull << 23) - 1);

// Set the inexact and underflow flag as appropriate

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary32 (s, e_out, c_prov);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
bid32_to_binary64 (double *pres, UINT32 * px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  UINT32 x = *px;
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#else
double
bid32_to_binary64 (UINT32 x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif

  UINT64 c_prov;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

  unpack_bid32 (x, s, e, k, (c.w[1]), return_binary64_zero (s),
                return_binary64_inf (s), return_binary64_nan);

// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-24=89
// In fact shift a further 6 places ready for reciprocal multiplication
// Thus (113-24)+6=95, a shift of 31 given that we've already upacked in c.w[1]

  c.w[1] = c.w[1] << 31;
  c.w[0] = 0;
  k = k + 89;

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is e >= ceil(1024 * log_10(2)) = ceil(308.25) = 309

  if (e >= 309) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary64_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 115) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -358)
    e = -358;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary64 + 358)[e];
  e_out = (exponents_binary64 + 358)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary64 + 358)[e];
  } else {
    r = (multipliers2_binary64 + 358)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further
    if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 55)
      d = 55;
    e_out = 1;
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d);
  }
  c_prov = z.w[5];

// Round using round-sticky words
// If we spill into the next binade, correct

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == (1ull << 53)) {
      c_prov = 1ull << 52;
      e_out = e_out + 1;
    }
  }
// Check for overflow

  if (e_out >= 2047) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary64_ovf (s);
  }
// Modify exponent for a tiny result, otherwise lop the implicit bit

  if (c_prov < (1ull << 52))
    e_out = 0;
  else
    c_prov = c_prov & ((1ull << 52) - 1);

// Set the inexact and underflow flag as appropriate

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary64 (s, e_out, c_prov);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
bid64_to_binary64 (double *pres, UINT64 * px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  UINT64 x = *px;
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#else
double
bid64_to_binary64 (UINT64 x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif

  UINT64 c_prov;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

  unpack_bid64 (x, s, e, k, (c.w[1]), return_binary64_zero (s),
                return_binary64_inf (s), return_binary64_nan);

// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-54=59
// In fact shift a further 6 places ready for reciprocal multiplication
// Thus (113-54)+6=65, a shift of 1 given that we've already upacked in c.w[1]

  c.w[1] = c.w[1] << 1;
  c.w[0] = 0;
  k = k + 59;

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is 2 >= ceil(1024 * log_10(2)) = ceil(308.25) = 309

  if (e >= 309) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary64_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 115) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -358)
    e = -358;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary64 + 358)[e];
  e_out = (exponents_binary64 + 358)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary64 + 358)[e];
  } else {
    r = (multipliers2_binary64 + 358)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further
    if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 55)
      d = 55;
    e_out = 1;
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d);
  }
  c_prov = z.w[5];

// Round using round-sticky words
// If we spill into the next binade, correct
// Flag underflow where it may be needed even for |result| = SNN

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == (1ull << 53)) {
      c_prov = 1ull << 52;
      e_out = e_out + 1;
    } else if ((c_prov == (1ull << 52)) && (e_out == 1))
    {
      if ((((rnd_mode & 3) == 0) && (z.w[4] < (3ull << 62))) ||
          ((rnd_mode + (s & 1) == 2) && (z.w[4] < (1ull << 63))))

        *pfpsf |= UNDERFLOW_EXCEPTION;
    }
  }
// Check for overflow

  if (e_out >= 2047) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary64_ovf (s);
  }
// Modify exponent for a tiny result, otherwise lop the implicit bit

  if (c_prov < (1ull << 52))
    e_out = 0;
  else
    c_prov = c_prov & ((1ull << 52) - 1);

// Set the inexact and underflow flag as appropriate

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary64 (s, e_out, c_prov);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
bid128_to_binary64 (double *pres, UINT128 * px
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
  UINT128 x = *px;
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#else
double
bid128_to_binary64 (UINT128 x
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
#endif

  UINT64 c_prov;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

  unpack_bid128 (x, s, e, k, c, return_binary64_zero (s),
                 return_binary64_inf (s), return_binary64_nan);

// Shift 6 more places left ready for reciprocal multiplication

  sll128_short (c.w[1], c.w[0], 6);

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is 2 >= ceil(1024 * log_10(2)) = ceil(308.25) = 309

  if (e >= 309) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary64_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 115) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -358)
    e = -358;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary64 + 358)[e];
  e_out = (exponents_binary64 + 358)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary64 + 358)[e];
  } else {
    r = (multipliers2_binary64 + 358)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further
    if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 55)
      d = 55;
    e_out = 1;
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d);
  }
  c_prov = z.w[5];

// Round using round-sticky words
// If we spill into the next binade, correct
// Flag underflow where it may be needed even for |result| = SNN

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == (1ull << 53)) {
      c_prov = 1ull << 52;
      e_out = e_out + 1;
    } else if ((c_prov == (1ull << 52)) && (e_out == 1)) {
      if ((((rnd_mode & 3) == 0) && (z.w[4] < (3ull << 62))) ||
          ((rnd_mode + (s & 1) == 2) && (z.w[4] < (1ull << 63))))
        *pfpsf |= UNDERFLOW_EXCEPTION;
    }
  }
// Check for overflow

  if (e_out >= 2047) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary64_ovf (s);
  }
// Modify exponent for a tiny result, otherwise lop the implicit bit

  if (c_prov < (1ull << 52))
    e_out = 0;
  else
    c_prov = c_prov & ((1ull << 52) - 1);

// Set the inexact and underflow flag as appropriate

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary64 (s, e_out, c_prov);
}

// **********************************************************************

#if __ENABLE_BINARY80__

#if DECIMAL_CALL_BY_REFERENCE
void
bid32_to_binary80 (BINARY80 * pres, UINT32 * px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  UINT32 x = *px;
#else
BINARY80
bid32_to_binary80 (UINT32 x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif
  UINT64 c_prov;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

  unpack_bid32 (x, s, e, k, (c.w[1]), return_binary80_zero (s),
                return_binary80_inf (s), return_binary80_nan);

// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-24=89
// Given that we've unpacked in the high part (<<64), that's just <<25

  c.w[1] = c.w[1] << 25;
  c.w[0] = 0;
  k = k + 89;

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933

  if (e >= 4933) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary80_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 115) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -4985)
    e = -4985;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary80 + 4985)[e];
  e_out = (exponents_binary80 + 4985)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary80 + 4985)[e];
  } else {
    r = (multipliers2_binary80 + 4985)[e];
    e_out = e_out + 1;
  }


// Do the reciprocal multiplication; make an effective shift of 303 bits
// by shifting 47 places right and taking the result from word 4

  __mul_128x256_to_384 (z, c, r)
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], 47);

// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further

  if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 66)
      d = 66;
    if (d >= 64) {
      d -= 64;
      z.w[1] = z.w[2], z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = 0;
    }
    e_out = 1;
    srl256 (z.w[4], z.w[3], z.w[2], z.w[1], d);
  }
  c_prov = z.w[4];

// Round using round-sticky words
// If we spill into the next binade, correct

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[3], z.w[2])) {
    c_prov = c_prov + 1;
    if (c_prov == 0) {
      c_prov = 1ull << 63;
      e_out = e_out + 1;
    }
  }
// Check for overflow

  if (e_out >= 32767) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary80_ovf (s);
  }
// Modify exponent for a tiny result

  if (c_prov < (1ull << 63))
    e_out = 0;

// Set the inexact and underflow flag as appropriate

  if ((z.w[3] != 0) || (z.w[2] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary80 (s, e_out, c_prov);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
bid64_to_binary80 (BINARY80 * pres, UINT64 * px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  UINT64 x = *px;
#else
BINARY80
bid64_to_binary80 (UINT64 x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif

  UINT64 c_prov;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

  unpack_bid64 (x, s, e, k, (c.w[0]), return_binary80_zero (s),
                return_binary80_inf (s), return_binary80_nan);
  c.w[1] = 0;

// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-54=59

  sll128_short (c.w[1], c.w[0], 59);
  k = k + 59;

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933

  if (e >= 4933) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary80_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 115) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -4985)
    e = -4985;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary80 + 4985)[e];
  e_out = (exponents_binary80 + 4985)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary80 + 4985)[e];
  } else {
    r = (multipliers2_binary80 + 4985)[e];
    e_out = e_out + 1;
  }


// Do the reciprocal multiplication; make an effective shift of 303 bits
// by shifting 47 places right and taking the result from word 4

  __mul_128x256_to_384 (z, c, r)
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], 47);

// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further

  if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 66)
      d = 66;
    if (d >= 64) {
      d -= 64;
      z.w[1] = z.w[2], z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = 0;
    }
    e_out = 1;
    srl256 (z.w[4], z.w[3], z.w[2], z.w[1], d);
  }
  c_prov = z.w[4];

// Round using round-sticky words
// If we spill into the next binade, correct

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[3], z.w[2])) {
    c_prov = c_prov + 1;
    if (c_prov == 0) {
      c_prov = 1ull << 63;
      e_out = e_out + 1;
    }
  }
// Check for overflow

  if (e_out >= 32767) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary80_ovf (s);
  }
// Modify exponent for a tiny result

  if (c_prov < (1ull << 63))
    e_out = 0;

// Set the inexact and underflow flag as appropriate

  if ((z.w[3] != 0) || (z.w[2] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary80 (s, e_out, c_prov);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
bid128_to_binary80 (BINARY80 * pres, UINT128 * px
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
  UINT128 x = *px;
#else
BINARY80
bid128_to_binary80 (UINT128 x
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
#endif

  UINT64 c_prov;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

  unpack_bid128 (x, s, e, k, c, return_binary80_zero (s),
                 return_binary80_inf (s), return_binary80_nan);

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933

  if (e >= 4933) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary80_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 115) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -4985)
    e = -4985;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary80 + 4985)[e];
  e_out = (exponents_binary80 + 4985)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary80 + 4985)[e];
  } else {
    r = (multipliers2_binary80 + 4985)[e];
    e_out = e_out + 1;
  }


// Do the reciprocal multiplication; make an effective shift of 303 bits
// by shifting 47 places right and taking the result from word 4

  __mul_128x256_to_384 (z, c, r)
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], 47);

// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further

  if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 66)
      d = 66;
    if (d >= 64) {
      d -= 64;
      z.w[1] = z.w[2], z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = 0;
    }
    e_out = 1;
    srl256 (z.w[4], z.w[3], z.w[2], z.w[1], d);
  }
  c_prov = z.w[4];

// Round using round-sticky words
// If we spill into the next binade, correct
// Flag underflow where it may be needed even for |result| = SNN

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[3], z.w[2])) {
    c_prov = c_prov + 1;
    if (c_prov == 0) {
      c_prov = 1ull << 63;
      e_out = e_out + 1;
    } else if ((c_prov == (1ull << 63)) && (e_out == 1)) {
      if ((((rnd_mode & 3) == 0) && (z.w[3] < (3ull << 62))) ||
          ((rnd_mode + (s & 1) == 2) && (z.w[3] < (1ull << 63))))
        *pfpsf |= UNDERFLOW_EXCEPTION;
    }
  }
// Check for overflow

  if (e_out >= 32767) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary80_ovf (s);
  }
// Modify exponent for a tiny result

  if (c_prov < (1ull << 63))
    e_out = 0;

// Set the inexact and underflow flag as appropriate

  if ((z.w[3] != 0) || (z.w[2] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary80 (s, e_out, c_prov);
}

#endif // matches #if __ENABLE_BINARY80__

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
bid32_to_binary128 (BINARY128 * pres, UINT32 * px
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
  UINT32 x = *px;
#else
BINARY128
bid32_to_binary128 (UINT32 x
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
#endif

  UINT64 c_prov_hi, c_prov_lo;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

  unpack_bid32 (x, s, e, k, (c.w[1]), return_binary128_zero (s),
                return_binary128_inf (s), return_binary128_nan);

// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-24=89
// But also make an additional shift of 2 places to get a whole-word lop:
// (c * r) >> 254 = ((c << 2) * r) >> 256. Given that we unpack in the high
// end, our shift is (89+2)-64 = 27

  c.w[0] = 0;
  c.w[1] = c.w[1] << 27;
  k = k + 89;

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933

  if (e >= 4933) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary128_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 114) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -5000)
    e = -5000;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary128 + 5000)[e];
  e_out = (exponents_binary128 + 5000)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary128 + 5000)[e];
  } else {
    r = (multipliers2_binary128 + 5000)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication; make an effective shift of 254 bits
// (given that we already shifted left 2 places) by lopping from word 4

  __mul_128x256_to_384 (z, c, r)
// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further
    if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 115)
      d = 115;
    if (d >= 64) {
      d -= 64;
      z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = z.w[5], z.w[5] = 0;
    }
    e_out = 1;
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d);
  }
  c_prov_hi = z.w[5];
  c_prov_lo = z.w[4];

// Round using round-sticky words
// If we spill into the next binade, correct

  if (lt128
      (roundbound_128
       [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) {
    c_prov_lo = c_prov_lo + 1;
    if (c_prov_lo == 0) {
      c_prov_hi = c_prov_hi + 1;
      if (c_prov_hi == 1ull << 49) {
        c_prov_hi = 1ull << 48;
        e_out = e_out + 1;
      }
    }
  }
// Check for overflow

  if (e_out >= 32767) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary128_ovf (s);
  }
// Modify exponent for a tiny result; otherwise lop off the implicit bit

  if (c_prov_hi < (1ull << 48))
    e_out = 0;
  else
    c_prov_hi = c_prov_hi & ((1ull << 48) - 1);

// Set the inexact and underflow flag as appropriate

  if ((z.w[3] != 0) || (z.w[2] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary128 (s, e_out, c_prov_hi, c_prov_lo);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
bid64_to_binary128 (BINARY128 * pres, UINT64 * px
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
  UINT64 x = *px;
#else
BINARY128
bid64_to_binary128 (UINT64 x
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
#endif

  UINT64 c_prov_hi, c_prov_lo;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

  unpack_bid64 (x, s, e, k, (c.w[0]), return_binary128_zero (s),
                return_binary128_inf (s), return_binary128_nan);
  c.w[1] = 0;

// Correct to 2^112 <= c < 2^113 with corresponding exponent adding 113-54=59
// But also make an additional shift of 2 places to get a whole-word lop:
// (c * r) >> 254 = ((c << 2) * r) >> 256

  sll128_short (c.w[1], c.w[0], 61);
  k = k + 59;

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933

  if (e >= 4933) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary128_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 114) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -5000)
    e = -5000;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary128 + 5000)[e];
  e_out = (exponents_binary128 + 5000)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary128 + 5000)[e];
  } else {
    r = (multipliers2_binary128 + 5000)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication; make an effective shift of 254 bits
// (given that we already shifted left 2 places) by lopping from word 4

  __mul_128x256_to_384 (z, c, r)
// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further
    if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 115)
      d = 115;
    if (d >= 64) {
      d -= 64;
      z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = z.w[5], z.w[5] = 0;
    }
    e_out = 1;
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d);
  }
  c_prov_hi = z.w[5];
  c_prov_lo = z.w[4];

// Round using round-sticky words
// If we spill into the next binade, correct

  if (lt128
      (roundbound_128
       [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) {
    c_prov_lo = c_prov_lo + 1;
    if (c_prov_lo == 0) {
      c_prov_hi = c_prov_hi + 1;
      if (c_prov_hi == 1ull << 49) {
        c_prov_hi = 1ull << 48;
        e_out = e_out + 1;
      }
    }
  }
// Check for overflow

  if (e_out >= 32767) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary128_ovf (s);
  }
// Modify exponent for a tiny result; otherwise lop off the implicit bit

  if (c_prov_hi < (1ull << 48))
    e_out = 0;
  else
    c_prov_hi = c_prov_hi & ((1ull << 48) - 1);

// Set the inexact and underflow flag as appropriate

  if ((z.w[3] != 0) || (z.w[2] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary128 (s, e_out, c_prov_hi, c_prov_lo);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
bid128_to_binary128 (BINARY128 * pres, UINT128 * px
                     _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                     _EXC_INFO_PARAM) {
  UINT128 x = *px;
#else
BINARY128
bid128_to_binary128 (UINT128 x
                     _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                     _EXC_INFO_PARAM) {
#endif

  UINT64 c_prov_hi, c_prov_lo;
  UINT128 c;
  UINT128 m_min;
  int s, e, k, e_out;
  UINT256 r;
  UINT384 z;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input and shift two further places for reciprocal multiplication

  unpack_bid128 (x, s, e, k, c, return_binary128_zero (s),
                 return_binary128_inf (s), return_binary128_nan);
  sll128_short (c.w[1], c.w[0], 2);

// Check for "trivial" overflow, when 10^e * 1 > 2^{sci_emax+1}, just to
// keep tables smaller (it would be intercepted later otherwise).
//
// (Note that we may have normalized the coefficient, but we have a
//  corresponding exponent postcorrection to account for; this can
//  afford to be conservative anyway.)
//
// We actually check if e >= ceil((sci_emax + 1) * log_10(2))
// which in this case is 2 >= ceil(16384 * log_10(2)) = ceil(4932.07544) = 4933

  if (e >= 4933) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary128_ovf (s);
  }
// Also check for "trivial" underflow, when 10^e * 2^113 <= 2^emin * 1/4,
// so test e <= floor((emin - 114) * log_10(2))
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -5000)
    e = -5000;

// Look up the breakpoint and approximate exponent

  m_min = (breakpoints_binary128 + 5000)[e];
  e_out = (exponents_binary128 + 5000)[e] - k;

// Choose provisional exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_binary128 + 5000)[e];
  } else {
    r = (multipliers2_binary128 + 5000)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication; make an effective shift of 254 bits
// (given that we already shifted left 2 places) by lopping from word 4

  __mul_128x256_to_384 (z, c, r)
// Check for exponent underflow and compensate by shifting the product
// Cut off the process at precision+2, since we can't really shift further
    if (e_out < 1) {
    int d;
    d = 1 - e_out;
    if (d > 115)
      d = 115;
    if (d >= 64) {
      d -= 64;
      z.w[2] = z.w[3], z.w[3] = z.w[4], z.w[4] = z.w[5], z.w[5] = 0;
    }
    e_out = 1;
    srl256 (z.w[5], z.w[4], z.w[3], z.w[2], d);
  }
  c_prov_hi = z.w[5];
  c_prov_lo = z.w[4];

// Round using round-sticky words
// If we spill into the next binade, correct
// Flag underflow where it may be needed even for |result| = SNN

  if (lt128
      (roundbound_128
       [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) {
    c_prov_lo = c_prov_lo + 1;
    if (c_prov_lo == 0) {
      c_prov_hi = c_prov_hi + 1;
      if (c_prov_hi == 1ull << 49) {
        c_prov_hi = 1ull << 48;
        e_out = e_out + 1;
      } else if ((c_prov_hi == (1ull << 48)) && (e_out == 1)) {
        if ((((rnd_mode & 3) == 0) && (z.w[3] < (3ull << 62))) ||
            ((rnd_mode + (s & 1) == 2) && (z.w[3] < (1ull << 63))))
          *pfpsf |= UNDERFLOW_EXCEPTION;
      }
    }
  }
// Check for overflow

  if (e_out >= 32767) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_binary128_ovf (s);
  }
// Modify exponent for a tiny result; otherwise lop off the implicit bit

  if (c_prov_hi < (1ull << 48))
    e_out = 0;
  else
    c_prov_hi = c_prov_hi & ((1ull << 48) - 1);

// Set the inexact and underflow flag as appropriate

  if ((z.w[3] != 0) || (z.w[2] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (e_out == 0)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result as a binary floating-point number

  return_binary128 (s, e_out, c_prov_hi, c_prov_lo);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
binary32_to_bid32 (UINT32 * pres, float *px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  float x = *px;
#else
UINT32
binary32_to_bid32 (float x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif
  UINT128 c;
  UINT64 c_prov;
  UINT128 m_min;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary32 (x, s, e, c.w[1], t, return_bid32_zero (s),
                   return_bid32_inf (s), return_bid32_nan);

// Treat like a quad input for uniformity, so (2^{113-24} * c * r) >> 320,
// where 320 is the truncation value for the reciprocal multiples, exactly
// five 64-bit words. So we shift 113-24=89 places. Since we unpacked in
// the high end, shift a further 89-64=25 places
//
// Remember to compensate for the fact that exponents are integer for quad

  c.w[0] = 0;
  c.w[1] = c.w[1] << 25;
  t += (113 - 24);
  e -= (113 - 24);

// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d.
// We actually check if e >= ceil((emax + d) * log_2(10) - 112)
// This could be intercepted later, but it's convenient to keep tables smaller

  if (e >= 211) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid32_ovf (s);
  }
// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], -e);
      if ((cint.w[1] == 0) && (cint.w[0] < 10000000ull))
        return_bid32 (s, 101, cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid32[a];
      srl128 (cint.w[1], cint.w[0], t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid32 (s, 101 - a, cc.w[0]);
      }
    }
  }
// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4,
// so test e <= floor(emin * log_2(10) - 115)
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -450)
    e = -450;

// Now look up our exponent e, and the breakpoint between e and e+1

  m_min = (breakpoints_bid32 + 450)[e];
  e_out = (exponents_bid32 + 450)[e];

// Choose exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_bid32 + 450)[e];
  } else {
    r = (multipliers2_bid32 + 450)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
    c_prov = z.w[5];

// Round using round-sticky words
// If we spill over into the next decade, correct

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == 10000000ull) {
      c_prov = 1000000ull;
      e_out = e_out + 1;
    }
  }
// Check for overflow

  if (e_out > 90 + 101) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid32_ovf (s);
  }
// Set the inexact flag as appropriate and check underflow
// It's no doubt superfluous to check inexactness, but anyway...

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (c_prov < 1000000ull)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result

  return_bid32 (s, e_out, c_prov);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
binary64_to_bid32 (UINT32 * pres, double *px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  double x = *px;
#else
UINT32
binary64_to_bid32 (double x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif
  UINT128 c;
  UINT64 c_prov;
  UINT128 m_min;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary64 (x, s, e, c.w[0], t, return_bid32_zero (s),
                   return_bid32_inf (s), return_bid32_nan);

// Treat like a quad input for uniformity, so (2^{113-53} * c * r) >> 320,
// where 320 is the truncation value for the reciprocal multiples, exactly
// five 64-bit words. So we shift 113-53=60 places
//
// Remember to compensate for the fact that exponents are integer for quad

  c.w[1] = 0;
  sll128_short (c.w[1], c.w[0], 60);
  t += (113 - 53);
  e -= (113 - 53);

// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d.
// We actually check if e >= ceil((emax + d) * log_2(10) - 112)
// This could be intercepted later, but it's convenient to keep tables smaller

  if (e >= 211) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid32_ovf (s);
  }
// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], -e);
      if ((cint.w[1] == 0) && (cint.w[0] < 10000000ull))
        return_bid32 (s, 101, cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid32[a];
      srl128 (cint.w[1], cint.w[0], t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid32 (s, 101 - a, cc.w[0]);
      }
    }
  }
// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4,
// so test e <= floor(emin * log_2(10) - 115)
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -450)
    e = -450;

// Now look up our exponent e, and the breakpoint between e and e+1

  m_min = (breakpoints_bid32 + 450)[e];
  e_out = (exponents_bid32 + 450)[e];

// Choose exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_bid32 + 450)[e];
  } else {
    r = (multipliers2_bid32 + 450)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
    c_prov = z.w[5];

// Round using round-sticky words
// If we spill over into the next decade, correct
// Flag underflow where it may be needed even for |result| = SNN

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == 10000000ull) {
      c_prov = 1000000ull;
      e_out = e_out + 1;
    } else if ((c_prov == 1000000ull) && (e_out == 0)) {
      if ((((rnd_mode & 3) == 0) && (z.w[4] <= 17524406870024074035ull))
          || ((rnd_mode + (s & 1) == 2)
              && (z.w[4] <= 16602069666338596454ull)))
        *pfpsf |= UNDERFLOW_EXCEPTION;
    }
  }
// Check for overflow

  if (e_out > 90 + 101) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid32_ovf (s);
  }
// Set the inexact flag as appropriate and check underflow
// It's no doubt superfluous to check inexactness, but anyway...

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (c_prov < 1000000ull)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result

  return_bid32 (s, e_out, c_prov);
}

// **********************************************************************

#if __ENABLE_BINARY80__

#if DECIMAL_CALL_BY_REFERENCE
void
binary80_to_bid32 (UINT32 * pres, BINARY80 * px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  BINARY80 x = *px;
#else
UINT32
binary80_to_bid32 (BINARY80 x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif

  UINT128 c;
  UINT64 c_prov;
  UINT128 m_min;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary80 (x, s, e, c.w[0], t, return_bid32_zero (s),
                   return_bid32_inf (s), return_bid32_nan);

// Treat like a quad input for uniformity, so (2^{113-64} * c * r) >> 320,
// where 320 is the truncation value for the reciprocal multiples, exactly
// five 64-bit words. So we shift 113-64=49 places
//
// Remember to compensate for the fact that exponents are integer for quad

  c.w[1] = 0;
  sll128_short (c.w[1], c.w[0], 49);
  t += (113 - 64);
  e -= (113 - 64);

// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d.
// We actually check if e >= ceil((emax + d) * log_2(10) - 112)
// This could be intercepted later, but it's convenient to keep tables smaller

  if (e >= 211) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid32_ovf (s);
  }
// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], -e);
      if ((cint.w[1] == 0) && (cint.w[0] < 10000000ull))
        return_bid32 (s, 101, cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid32[a];
      srl128 (cint.w[1], cint.w[0], t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid32 (s, 101 - a, cc.w[0]);
      }
    }
  }
// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4,
// so test e <= floor(emin * log_2(10) - 115)
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -450)
    e = -450;

// Now look up our exponent e, and the breakpoint between e and e+1

  m_min = (breakpoints_bid32 + 450)[e];
  e_out = (exponents_bid32 + 450)[e];

// Choose exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_bid32 + 450)[e];
  } else {
    r = (multipliers2_bid32 + 450)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
    c_prov = z.w[5];

// Round using round-sticky words
// If we spill over into the next decade, correct
// Flag underflow where it may be needed even for |result| = SNN

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == 10000000ull) {
      c_prov = 1000000ull;
      e_out = e_out + 1;
    } else if ((c_prov == 1000000ull) && (e_out == 0)) {
      if ((((rnd_mode & 3) == 0) && (z.w[4] <= 17524406870024074035ull))
          || ((rnd_mode + (s & 1) == 2)
              && (z.w[4] <= 16602069666338596454ull)))
        *pfpsf |= UNDERFLOW_EXCEPTION;
    }
  }
// Check for overflow

  if (e_out > 90 + 101) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid32_ovf (s);
  }
// Set the inexact flag as appropriate and check underflow
// It's no doubt superfluous to check inexactness, but anyway...

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (c_prov < 1000000ull)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result

  return_bid32 (s, e_out, c_prov);
}

#endif // matches #if __ENABLE_BINARY80__

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
binary128_to_bid32 (UINT32 * pres, BINARY128 * px
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
  BINARY128 x = *px;
#else
UINT32
binary128_to_bid32 (BINARY128 x
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
#endif

  UINT128 c;
  UINT64 c_prov;
  UINT128 m_min;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary128 (x, s, e, c.w[1], c.w[0], t, return_bid32_zero (s),
                    return_bid32_inf (s), return_bid32_nan);

// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d.
// We actually check if e >= ceil((emax + d) * log_2(10) - 112)
// This could be intercepted later, but it's convenient to keep tables smaller

  if (e >= 211) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid32_ovf (s);
  }
// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], -e);
      if ((cint.w[1] == 0) && (cint.w[0] < 10000000ull))
        return_bid32 (s, 101, cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid32[a];
      srl128 (cint.w[1], cint.w[0], t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid32 (s, 101 - a, cc.w[0]);
      }
    }
  }
// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4,
// so test e <= floor(emin * log_2(10) - 115)
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -450)
    e = -450;

// Now look up our exponent e, and the breakpoint between e and e+1

  m_min = (breakpoints_bid32 + 450)[e];
  e_out = (exponents_bid32 + 450)[e];

// Choose exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_bid32 + 450)[e];
  } else {
    r = (multipliers2_bid32 + 450)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
    c_prov = z.w[5];

// Round using round-sticky words
// If we spill over into the next decade, correct
// Flag underflow where it may be needed even for |result| = SNN
// This needs to be done in extra precision because of the precision disparity
// and the fact that the breakpoint isn't an exact binary number.

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == 10000000ull) {
      c_prov = 1000000ull;
      e_out = e_out + 1;
    } else if ((c_prov == 1000000ull) && (e_out == 0)) {
      if ((((rnd_mode & 3) == 0) &&
           le128 (z.w[4], z.w[3],
                  17524406870024074035ull, 3689348814741910323ull)) ||
          ((rnd_mode + (s & 1) == 2) &&
           le128 (z.w[4], z.w[3],
                  16602069666338596454ull, 7378697629483820646ull)))
        *pfpsf |= UNDERFLOW_EXCEPTION;
    }
  }
// Check for overflow

  if (e_out > 90 + 101) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid32_ovf (s);
  }
// Set the inexact flag as appropriate and check underflow
// It's no doubt superfluous to check inexactness, but anyway...

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (c_prov < 1000000ull)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result

  return_bid32 (s, e_out, c_prov);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
binary32_to_bid64 (UINT64 * pres, float *px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  float x = *px;
#else
UINT64
binary32_to_bid64 (float x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif

  UINT128 c;
  UINT64 c_prov;
  UINT128 m_min;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary32 (x, s, e, c.w[1], t, return_bid64_zero (s),
                   return_bid64_inf (s), return_bid64_nan);

// Treat like a quad input for uniformity, so (2^{113-24} * c * r) >> 312
// (312 is the shift value for these tables) which can be written as
// (2^97 c * r) >> 320, lopping off exactly 320 bits = 5 words. Thus we put
// input coefficient as the high part of c (<<64) shifted by 33 bits (<<97)
//
// Remember to compensate for the fact that exponents are integer for quad

  c.w[1] = c.w[1] << 33;
  c.w[0] = 0;
  t += (113 - 24);
  e -= (113 - 24);

// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d.
// We actually check if e >= ceil((emax + d) * log_2(10) - 112)
// This could be intercepted later, but it's convenient to keep tables smaller

  if (e >= 1168) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid64_ovf (s);
  }
// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.
//
// Note that when we shift, we need to take into account the fact that
// c is already 8 places to the left in preparation for the reciprocal
// multiplication; thus we add 8 to all the shift counts

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], 8 - e);
      if ((cint.w[1] == 0) && (cint.w[0] < 10000000000000000ull))
        return_bid64 (s, 398, cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid64[a];
      srl128 (cint.w[1], cint.w[0], 8 + t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid64 (s, 398 - a, cc.w[0]);
      }
    }
  }
// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4,
// so test e <= floor(emin * log_2(10) - 115)
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -1437)
    e = -1437;

// Now look up our exponent e, and the breakpoint between e and e+1

  m_min = (breakpoints_bid64 + 1437)[e];
  e_out = (exponents_bid64 + 1437)[e];

// Choose exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_bid64 + 1437)[e];
  } else {
    r = (multipliers2_bid64 + 1437)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
    c_prov = z.w[5];

// Round using round-sticky words
// If we spill over into the next decade, correct

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == 10000000000000000ull) {
      c_prov = 1000000000000000ull;
      e_out = e_out + 1;
    }
  }
// Check for overflow

  if (e_out > 369 + 398) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid64_ovf (s);
  }
// Set the inexact flag as appropriate and check underflow
// It's no doubt superfluous to check inexactness, but anyway...

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (c_prov < 1000000000000000ull)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result

  return_bid64 (s, e_out, c_prov);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
binary64_to_bid64 (UINT64 * pres, double *px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  double x = *px;
#else
UINT64
binary64_to_bid64 (double x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif

  UINT128 c;
  UINT64 c_prov;
  UINT128 m_min;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary64 (x, s, e, c.w[1], t, return_bid64_zero (s),
                   return_bid64_inf (s), return_bid64_nan);

// Treat like a quad input for uniformity, so (2^{113-53} * c * r) >> 312
// (312 is the shift value for these tables) which can be written as
// (2^68 c * r) >> 320, lopping off exactly 320 bits = 5 words. Thus we put
// input coefficient as the high part of c (<<64) shifted by 4 bits (<<68)
//
// Remember to compensate for the fact that exponents are integer for quad

  c.w[1] = c.w[1] << 4;
  c.w[0] = 0;
  t += (113 - 53);
  e -= (113 - 53);

// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d.
// We actually check if e >= ceil((emax + d) * log_2(10) - 112)
// This could be intercepted later, but it's convenient to keep tables smaller

  if (e >= 1168) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid64_ovf (s);
  }
// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.
//
// Note that when we shift, we need to take into account the fact that
// c is already 8 places to the left in preparation for the reciprocal
// multiplication; thus we add 8 to all the shift counts

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], 8 - e);
      if ((cint.w[1] == 0) && (cint.w[0] < 10000000000000000ull))
        return_bid64 (s, 398, cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid64[a];
      srl128 (cint.w[1], cint.w[0], 8 + t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid64 (s, 398 - a, cc.w[0]);
      }
    }
  }
// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4,
// so test e <= floor(emin * log_2(10) - 115)
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -1437)
    e = -1437;

// Now look up our exponent e, and the breakpoint between e and e+1

  m_min = (breakpoints_bid64 + 1437)[e];
  e_out = (exponents_bid64 + 1437)[e];

// Choose exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_bid64 + 1437)[e];
  } else {
    r = (multipliers2_bid64 + 1437)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
    c_prov = z.w[5];

// Round using round-sticky words
// If we spill over into the next decade, correct

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == 10000000000000000ull) {
      c_prov = 1000000000000000ull;
      e_out = e_out + 1;
    }
  }
// Check for overflow

  if (e_out > 369 + 398) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid64_ovf (s);
  }
// Set the inexact flag as appropriate and check underflow
// It's no doubt superfluous to check inexactness, but anyway...

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (c_prov < 1000000000000000ull)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result

  return_bid64 (s, e_out, c_prov);
}

// **********************************************************************

#if __ENABLE_BINARY80__

#if DECIMAL_CALL_BY_REFERENCE
void
binary80_to_bid64 (UINT64 * pres, BINARY80 * px
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
  BINARY80 x = *px;
#else
UINT64
binary80_to_bid64 (BINARY80 x
                   _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                   _EXC_INFO_PARAM) {
#endif

  UINT128 c;
  UINT64 c_prov;
  UINT128 m_min;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary80 (x, s, e, c.w[1], t, return_bid64_zero (s),
                   return_bid64_inf (s), return_bid64_nan);

// Treat like a quad input for uniformity, so (2^{113-64} * c * r) >> 312
// (312 is the shift value for these tables) which can be written as
// (2^57 c * r) >> 320, lopping off exactly 320 bits = 5 words. Thus we put the
// input in the high part then shift right 7 places

  c.w[0] = 0;
  srl128_short (c.w[1], c.w[0], 7);
  t += (113 - 64);
  e -= (113 - 64);

// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d.
// We actually check if e >= ceil((emax + d) * log_2(10) - 112)
// This could be intercepted later, but it's convenient to keep tables smaller

  if (e >= 1168) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid64_ovf (s);
  }
// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.
//
// Note that when we shift, we need to take into account the fact that
// c is already 8 places to the left in preparation for the reciprocal
// multiplication; thus we add 8 to all the shift counts

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], 8 - e);
      if ((cint.w[1] == 0) && (cint.w[0] < 10000000000000000ull))
        return_bid64 (s, 398, cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid64[a];
      srl128 (cint.w[1], cint.w[0], 8 + t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid64 (s, 398 - a, cc.w[0]);
      }
    }
  }
// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4,
// so test e <= floor(emin * log_2(10) - 115)
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -1437)
    e = -1437;

// Now look up our exponent e, and the breakpoint between e and e+1

  m_min = (breakpoints_bid64 + 1437)[e];
  e_out = (exponents_bid64 + 1437)[e];

// Choose exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_bid64 + 1437)[e];
  } else {
    r = (multipliers2_bid64 + 1437)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
    c_prov = z.w[5];

// Round using round-sticky words
// If we spill over into the next decade, correct
// Flag underflow where it may be needed even for |result| = SNN

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == 10000000000000000ull) {
      c_prov = 1000000000000000ull;
      e_out = e_out + 1;
    } else if ((c_prov == 1000000000000000ull) && (e_out == 0)) {
      if ((((rnd_mode & 3) == 0) && (z.w[4] <= 17524406870024074035ull))
          || ((rnd_mode + (s & 1) == 2)
              && (z.w[4] <= 16602069666338596454ull)))
        *pfpsf |= UNDERFLOW_EXCEPTION;
    }
  }
// Check for overflow

  if (e_out > 369 + 398) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid64_ovf (s);
  }
// Set the inexact flag as appropriate and check underflow
// It's no doubt superfluous to check inexactness, but anyway...

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (c_prov < 1000000000000000ull)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result

  return_bid64 (s, e_out, c_prov);
}

#endif // matches #if __ENABLE_BINARY80__

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
binary128_to_bid64 (UINT64 * pres, BINARY128 * px
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
  BINARY128 x = *px;
#else
UINT64
binary128_to_bid64 (BINARY128 x
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
#endif

  UINT128 c;
  UINT64 c_prov;
  UINT128 m_min;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary128 (x, s, e, c.w[1], c.w[0], t, return_bid64_zero (s),
                    return_bid64_inf (s), return_bid64_nan);

// Shift left 8 spaces so (c * r) >> 312 = ((c<<8) * r) >> 320 and we
// can lop off exactly 5 words

  sll128_short (c.w[1], c.w[0], 8);

// Check for "trivial" overflow, when 2^e * 2^112 > 10^emax * 10^d.
// We actually check if e >= ceil((emax + d) * log_2(10) - 112)
// This could be intercepted later, but it's convenient to keep tables smaller

  if (e >= 1168) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid64_ovf (s);
  }
// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.
//
// Note that when we shift, we need to take into account the fact that
// c is already 8 places to the left in preparation for the reciprocal
// multiplication; thus we add 8 to all the shift counts

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], 8 - e);
      if ((cint.w[1] == 0) && (cint.w[0] < 10000000000000000ull))
        return_bid64 (s, 398, cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid64[a];
      srl128 (cint.w[1], cint.w[0], 8 + t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid64 (s, 398 - a, cc.w[0]);
      }
    }
  }
// Check for "trivial" underflow, when 2^e * 2^113 <= 10^emin * 1/4,
// so test e <= floor(emin * log_2(10) - 115)
// In this case just fix ourselves at that value for uniformity.
//
// This is important not only to keep the tables small but to maintain the
// testing of the round/sticky words as a correct rounding method

  if (e <= -1437)
    e = -1437;

// Now look up our exponent e, and the breakpoint between e and e+1

  m_min = (breakpoints_bid64 + 1437)[e];
  e_out = (exponents_bid64 + 1437)[e];

// Choose exponent and reciprocal multiplier based on breakpoint

  if (le128 (c.w[1], c.w[0], m_min.w[1], m_min.w[0])) {
    r = (multipliers1_bid64 + 1437)[e];
  } else {
    r = (multipliers2_bid64 + 1437)[e];
    e_out = e_out + 1;
  }

// Do the reciprocal multiplication

  __mul_128x256_to_384 (z, c, r)
    c_prov = z.w[5];

// Round using round-sticky words
// If we spill over into the next decade, correct
// Flag underflow where it may be needed even for |result| = SNN

  if (lt128
      (roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) + (c_prov & 1)].
       w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov & 1)].w[0], z.w[4], z.w[3])) {
    c_prov = c_prov + 1;
    if (c_prov == 10000000000000000ull) {
      c_prov = 1000000000000000ull;
      e_out = e_out + 1;
    } else if ((c_prov == 1000000000000000ull) && (e_out == 0)) {
      if ((((rnd_mode & 3) == 0) && (z.w[4] <= 17524406870024074035ull))
          || ((rnd_mode + (s & 1) == 2)
              && (z.w[4] <= 16602069666338596454ull)))
        *pfpsf |= UNDERFLOW_EXCEPTION;
    }
  }
// Check for overflow

  if (e_out > 369 + 398) {
    *pfpsf |= (OVERFLOW_EXCEPTION | INEXACT_EXCEPTION);
    return_bid64_ovf (s);
  }
// Set the inexact flag as appropriate and check underflow
// It's no doubt superfluous to check inexactness, but anyway...

  if ((z.w[4] != 0) || (z.w[3] != 0)) {
    *pfpsf |= INEXACT_EXCEPTION;
    if (c_prov < 1000000000000000ull)
      *pfpsf |= UNDERFLOW_EXCEPTION;
  }
// Package up the result

  return_bid64 (s, e_out, c_prov);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
binary32_to_bid128 (UINT128 * pres, float *px
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
  float x = *px;
#else
UINT128
binary32_to_bid128 (float x
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
#endif

  UINT128 c;
  UINT64 c_prov_hi, c_prov_lo;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out, e_plus, e_hi, e_lo, f;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary32 (x, s, e, c.w[1], t, return_bid128_zero (s),
                   return_bid128_inf (s), return_bid128_nan);

// Shift up to the top: like a pure quad coefficient with a shift of 15.
// In our case, this is 2^{113-24+15} times the core, so unpack at the
// high end shifted by 40.

  c.w[0] = 0;
  c.w[1] = c.w[1] << 40;

  t += (113 - 24);
  e -= (113 - 24);

// (We never need to check for overflow: this format is the biggest of all!)

// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.
//
// Note that when we shift, we need to take into account the fact that
// c is already 15 places to the left in preparation for the reciprocal
// multiplication; thus we add 15 to all the shift counts

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], 15 - e);
      if (lt128 (cint.w[1], cint.w[0],
                 542101086242752ull, 4003012203950112768ull))
        return_bid128 (s, 6176, cint.w[1], cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid128[a];
      srl128 (cint.w[1], cint.w[0], 15 + t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid128 (s, 6176 - a, cc.w[1], cc.w[0]);
      }
    }
  }
// Input exponent can stretch between the maximal and minimal
// exponents (remembering we force normalization): -16607 <= e <= 16271

// Compute the estimated decimal exponent e_out; the provisional exponent
// will be either "e_out" or "e_out-1" depending on later significand check
// NB: this is the *biased* exponent

  e_plus = e + 42152;
  e_out = (((19728 * e_plus) + ((19779 * e_plus) >> 16)) >> 16) - 6512;

// Set up pointers into the bipartite table

  e_hi = 11232 - e_out;
  e_lo = e_hi & 127;
  e_hi = e_hi >> 7;

// Look up the inner entry first

  r = innertable_sig[e_lo], f = innertable_exp[e_lo];

// If we need the other entry, multiply significands and add exponents

  if (e_hi != 39) {
    UINT256 s = outertable_sig[e_hi];
    UINT512 t;
    f = f + 256 + outertable_exp[e_hi];
    __mul_256x256_to_512 (t, r, s);
    r.w[0] = t.w[4] + 1, r.w[1] = t.w[5],
      r.w[2] = t.w[6], r.w[3] = t.w[7];
  }

  __mul_128x256_to_384 (z, c, r);

// Make adjustive shift, ignoring the lower 128 bits

  e = -(241 + e + f);
  srl256 (z.w[5], z.w[4], z.w[3], z.w[2], e);

// Now test against 10^33 and so decide on adjustment
// I feel there ought to be a smarter way of doing the multiplication

  if (lt128 (z.w[5], z.w[4], 54210108624275ull, 4089650035136921600ull)) {
    __mul_10x256_to_256 (z.w[5], z.w[4], z.w[3], z.w[2], z.w[5], z.w[4],
                         z.w[3], z.w[2]);
    e_out = e_out - 1;
  }
// Set up provisional results

  c_prov_hi = z.w[5];
  c_prov_lo = z.w[4];

// Round using round-sticky words
// If we spill over into the next decade, correct

  if (lt128
      (roundbound_128
       [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) {
    c_prov_lo = c_prov_lo + 1;
    if (c_prov_lo == 0)
      c_prov_hi = c_prov_hi + 1;
    else if ((c_prov_lo == 4003012203950112768ull) &&
             (c_prov_hi == 542101086242752ull)) {
      c_prov_hi = 54210108624275ull;
      c_prov_lo = 4089650035136921600ull;
      e_out = e_out + 1;
    }
  }
// Don't need to check overflow or underflow; however set inexact flag

  if ((z.w[3] != 0) || (z.w[2] != 0))
    *pfpsf |= INEXACT_EXCEPTION;

// Package up the result

  return_bid128 (s, e_out, c_prov_hi, c_prov_lo);
}

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
binary64_to_bid128 (UINT128 * pres, double *px
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
  double x = *px;
#else
UINT128
binary64_to_bid128 (double x
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
#endif

  UINT128 c;
  UINT64 c_prov_hi, c_prov_lo;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out, e_plus, e_hi, e_lo, f;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary64 (x, s, e, c.w[1], t, return_bid128_zero (s),
                   return_bid128_inf (s), return_bid128_nan);

// Shift up to the top: like a pure quad coefficient with a shift of 15.
// In our case, this is 2^{113-53+15} times the core, so unpack at the
// high end shifted by 11.

  c.w[0] = 0;
  c.w[1] = c.w[1] << 11;

  t += (113 - 53);
  e -= (113 - 53);

// (We never need to check for overflow: this format is the biggest of all!)

// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.
//
// Note that when we shift, we need to take into account the fact that
// c is already 15 places to the left in preparation for the reciprocal
// multiplication; thus we add 15 to all the shift counts

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], 15 - e);
      if (lt128 (cint.w[1], cint.w[0],
                 542101086242752ull, 4003012203950112768ull))
        return_bid128 (s, 6176, cint.w[1], cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid128[a];
      srl128 (cint.w[1], cint.w[0], 15 + t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid128 (s, 6176 - a, cc.w[1], cc.w[0]);
      }
    }
  }
// Input exponent can stretch between the maximal and minimal
// exponents (remembering we force normalization): -16607 <= e <= 16271

// Compute the estimated decimal exponent e_out; the provisional exponent
// will be either "e_out" or "e_out-1" depending on later significand check
// NB: this is the *biased* exponent

  e_plus = e + 42152;
  e_out = (((19728 * e_plus) + ((19779 * e_plus) >> 16)) >> 16) - 6512;

// Set up pointers into the bipartite table

  e_hi = 11232 - e_out;
  e_lo = e_hi & 127;
  e_hi = e_hi >> 7;

// Look up the inner entry first

  r = innertable_sig[e_lo], f = innertable_exp[e_lo];

// If we need the other entry, multiply significands and add exponents

  if (e_hi != 39) {
    UINT256 s = outertable_sig[e_hi];
    UINT512 t;
    f = f + 256 + outertable_exp[e_hi];
    __mul_256x256_to_512 (t, r, s);
    r.w[0] = t.w[4] + 1, r.w[1] = t.w[5],
      r.w[2] = t.w[6], r.w[3] = t.w[7];
  }

  __mul_128x256_to_384 (z, c, r);

// Make adjustive shift, ignoring the lower 128 bits

  e = -(241 + e + f);
  srl256 (z.w[5], z.w[4], z.w[3], z.w[2], e);

// Now test against 10^33 and so decide on adjustment
// I feel there ought to be a smarter way of doing the multiplication

  if (lt128 (z.w[5], z.w[4], 54210108624275ull, 4089650035136921600ull)) {
    __mul_10x256_to_256 (z.w[5], z.w[4], z.w[3], z.w[2], z.w[5], z.w[4],
                         z.w[3], z.w[2]);
    e_out = e_out - 1;
  }
// Set up provisional results

  c_prov_hi = z.w[5];
  c_prov_lo = z.w[4];

// Round using round-sticky words
// If we spill over into the next decade, correct

  if (lt128
      (roundbound_128
       [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) {
    c_prov_lo = c_prov_lo + 1;
    if (c_prov_lo == 0)
      c_prov_hi = c_prov_hi + 1;
    else if ((c_prov_lo == 4003012203950112768ull) &&
             (c_prov_hi == 542101086242752ull)) {
      c_prov_hi = 54210108624275ull;
      c_prov_lo = 4089650035136921600ull;
      e_out = e_out + 1;
    }
  }
// Don't need to check overflow or underflow; however set inexact flag

  if ((z.w[3] != 0) || (z.w[2] != 0))
    *pfpsf |= INEXACT_EXCEPTION;

// Package up the result

  return_bid128 (s, e_out, c_prov_hi, c_prov_lo);
}

// **********************************************************************

#if __ENABLE_BINARY80__

#if DECIMAL_CALL_BY_REFERENCE
void
binary80_to_bid128 (UINT128 * pres, BINARY80 * px
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
  BINARY80 x = *px;
#else
UINT128
binary80_to_bid128 (BINARY80 x
                    _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                    _EXC_INFO_PARAM) {
#endif

  UINT128 c;
  UINT64 c_prov_hi, c_prov_lo;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out, e_plus, e_hi, e_lo, f;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary80 (x, s, e, c.w[1], t, return_bid128_zero (s),
                   return_bid128_inf (s), return_bid128_nan);

// Treat like a pure quad coefficient with a shift of 15. We get this
// just by unpacking at the high end

  c.w[0] = 0;

  t += (113 - 64);
  e -= (113 - 64);

// (We never need to check for overflow: this format is the biggest of all!)

// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.
//
// Note that when we shift, we need to take into account the fact that
// c is already 15 places to the left in preparation for the reciprocal
// multiplication; thus we add 15 to all the shift counts

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], 15 - e);
      if (lt128 (cint.w[1], cint.w[0],
                 542101086242752ull, 4003012203950112768ull))
        return_bid128 (s, 6176, cint.w[1], cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid128[a];
      srl128 (cint.w[1], cint.w[0], 15 + t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid128 (s, 6176 - a, cc.w[1], cc.w[0]);
      }
    }
  }
// Input exponent can stretch between the maximal and minimal
// exponents (remembering we force normalization): -16607 <= e <= 16271

// Compute the estimated decimal exponent e_out; the provisional exponent
// will be either "e_out" or "e_out-1" depending on later significand check
// NB: this is the *biased* exponent

  e_plus = e + 42152;
  e_out = (((19728 * e_plus) + ((19779 * e_plus) >> 16)) >> 16) - 6512;

// Set up pointers into the bipartite table

  e_hi = 11232 - e_out;
  e_lo = e_hi & 127;
  e_hi = e_hi >> 7;

// Look up the inner entry first

  r = innertable_sig[e_lo], f = innertable_exp[e_lo];

// If we need the other entry, multiply significands and add exponents

  if (e_hi != 39) {
    UINT256 s = outertable_sig[e_hi];
    UINT512 t;
    f = f + 256 + outertable_exp[e_hi];
    __mul_256x256_to_512 (t, r, s);
    r.w[0] = t.w[4] + 1, r.w[1] = t.w[5],
      r.w[2] = t.w[6], r.w[3] = t.w[7];
  }

  __mul_128x256_to_384 (z, c, r);

// Make adjustive shift, ignoring the lower 128 bits

  e = -(241 + e + f);
  srl256 (z.w[5], z.w[4], z.w[3], z.w[2], e);

// Now test against 10^33 and so decide on adjustment
// I feel there ought to be a smarter way of doing the multiplication

  if (lt128 (z.w[5], z.w[4], 54210108624275ull, 4089650035136921600ull)) {
    __mul_10x256_to_256 (z.w[5], z.w[4], z.w[3], z.w[2], z.w[5], z.w[4],
                         z.w[3], z.w[2]);
    e_out = e_out - 1;
  }
// Set up provisional results

  c_prov_hi = z.w[5];
  c_prov_lo = z.w[4];

// Round using round-sticky words
// If we spill over into the next decade, correct

  if (lt128
      (roundbound_128
       [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) {
    c_prov_lo = c_prov_lo + 1;
    if (c_prov_lo == 0)
      c_prov_hi = c_prov_hi + 1;
    else if ((c_prov_lo == 4003012203950112768ull) &&
             (c_prov_hi == 542101086242752ull)) {
      c_prov_hi = 54210108624275ull;
      c_prov_lo = 4089650035136921600ull;
      e_out = e_out + 1;
    }
  }
// Don't need to check overflow or underflow; however set inexact flag

  if ((z.w[3] != 0) || (z.w[2] != 0))
    *pfpsf |= INEXACT_EXCEPTION;

// Package up the result

  return_bid128 (s, e_out, c_prov_hi, c_prov_lo);
}

#endif // matches #if __ENABLE_BINARY80__

// **********************************************************************

#if DECIMAL_CALL_BY_REFERENCE
void
binary128_to_bid128 (UINT128 * pres, BINARY128 * px
                     _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                     _EXC_INFO_PARAM) {
  BINARY128 x = *px;
#else
UINT128
binary128_to_bid128 (BINARY128 x
                     _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
                     _EXC_INFO_PARAM) {
#endif

  UINT128 c;
  UINT64 c_prov_hi, c_prov_lo;
  UINT256 r;
  UINT384 z;

  int e, s, t, e_out, e_plus, e_hi, e_lo, f;

#if DECIMAL_CALL_BY_REFERENCE
#if !DECIMAL_GLOBAL_ROUNDING
  _IDEC_round rnd_mode = *prnd_mode;
#endif
#endif

// Unpack the input

  unpack_binary128 (x, s, e, c.w[1], c.w[0], t, return_bid128_zero (s),
                    return_bid128_inf (s), return_bid128_nan);

// Shift up 15 places to move to the top

  sll128_short (c.w[1], c.w[0], 15);

// (We never need to check for overflow: this format is the biggest of all!)

// Now filter out all the exact cases where we need to specially force
// the exponent to 0. We can let through inexact cases and those where the
// main path will do the right thing anyway, e.g. integers outside coeff range.
//
// First check that e <= 0, because if e > 0, the input must be >= 2^113,
// which is too large for the coefficient of any target decimal format.
// We write a = -(e + t)
//
// (1) If e + t >= 0 <=> a <= 0 the input is an integer; treat it specially
//     iff it fits in the coefficient range. Shift c' = c >> -e, and
//     compare with the coefficient range; if it's in range then c' is
//     our coefficient, exponent is 0. Otherwise we pass through.
//
// (2) If a > 0 then we have a non-integer input. The special case would
//     arise as c' / 2^a where c' = c >> t, i.e. 10^-a * (5^a c'). Now
//     if a > 48 we can immediately forget this, since 5^49 > 10^34.
//     Otherwise we determine whether we're in range by a table based on
//     a, and if so get the multiplier also from a table based on a.
//
// Note that when we shift, we need to take into account the fact that
// c is already 15 places to the left in preparation for the reciprocal
// multiplication; thus we add 15 to all the shift counts

  if (e <= 0) {
    UINT128 cint;
    int a = -(e + t);
    cint.w[1] = c.w[1], cint.w[0] = c.w[0];
    if (a <= 0) {
      srl128 (cint.w[1], cint.w[0], 15 - e);
      if (lt128 (cint.w[1], cint.w[0],
                 542101086242752ull, 4003012203950112768ull))
        return_bid128 (s, 6176, cint.w[1], cint.w[0]);
    } else if (a <= 48) {
      UINT128 pow5 = coefflimits_bid128[a];
      srl128 (cint.w[1], cint.w[0], 15 + t);
      if (le128 (cint.w[1], cint.w[0], pow5.w[1], pow5.w[0])) {
        UINT128 cc;
        cc.w[1] = cint.w[1];
        cc.w[0] = cint.w[0];
        pow5 = power_five[a];
        __mul_128x128_low (cc, cc, pow5);
        return_bid128 (s, 6176 - a, cc.w[1], cc.w[0]);
      }
    }
  }
// Input exponent can stretch between the maximal and minimal
// exponents (remembering we force normalization): -16607 <= e <= 16271

// Compute the estimated decimal exponent e_out; the provisional exponent
// will be either "e_out" or "e_out-1" depending on later significand check
// NB: this is the *biased* exponent

  e_plus = e + 42152;
  e_out = (((19728 * e_plus) + ((19779 * e_plus) >> 16)) >> 16) - 6512;

// Set up pointers into the bipartite table

  e_hi = 11232 - e_out;
  e_lo = e_hi & 127;
  e_hi = e_hi >> 7;

// Look up the inner entry first

  r = innertable_sig[e_lo], f = innertable_exp[e_lo];

// If we need the other entry, multiply significands and add exponents

  if (e_hi != 39) {
    UINT256 s = outertable_sig[e_hi];
    UINT512 t;
    f = f + 256 + outertable_exp[e_hi];
    __mul_256x256_to_512 (t, r, s);
    // *** NB I should run an exhaustive check this +1 doesn't overflow
    r.w[0] = t.w[4] + 1, r.w[1] = t.w[5],
      r.w[2] = t.w[6], r.w[3] = t.w[7];
  }

  __mul_128x256_to_384 (z, c, r);

// Make adjustive shift, ignoring the lower 128 bits

  e = -(241 + e + f);
  srl256 (z.w[5], z.w[4], z.w[3], z.w[2], e);

// Now test against 10^33 and so decide on adjustment
// I feel there ought to be a smarter way of doing the multiplication

  if (lt128 (z.w[5], z.w[4], 54210108624275ull, 4089650035136921600ull)) {
    __mul_10x256_to_256 (z.w[5], z.w[4], z.w[3], z.w[2], z.w[5], z.w[4],
                         z.w[3], z.w[2]);
    e_out = e_out - 1;
  }
// Set up provisional results

  c_prov_hi = z.w[5];
  c_prov_lo = z.w[4];

// Round using round-sticky words
// If we spill over into the next decade, correct

  if (lt128
      (roundbound_128
       [(rnd_mode << 2) + ((s & 1) << 1) + (c_prov_lo & 1)].w[1],
       roundbound_128[(rnd_mode << 2) + ((s & 1) << 1) +
                      (c_prov_lo & 1)].w[0], z.w[3], z.w[2])) {
    c_prov_lo = c_prov_lo + 1;
    if (c_prov_lo == 0)
      c_prov_hi = c_prov_hi + 1;
    else if ((c_prov_lo == 4003012203950112768ull) &&
             (c_prov_hi == 542101086242752ull)) {
      c_prov_hi = 54210108624275ull;
      c_prov_lo = 4089650035136921600ull;
      e_out = e_out + 1;
    }
  }
// Don't need to check overflow or underflow; however set inexact flag

  if ((z.w[3] != 0) || (z.w[2] != 0))
    *pfpsf |= INEXACT_EXCEPTION;

// Package up the result

  return_bid128 (s, e_out, c_prov_hi, c_prov_lo);
}
